Use our sample 'Area of a Sector Calculator.' Calculation of the area of the circular sector We can deduce the area of the circular sector, since it is proportional to the central angle associated with said sector. Area of a Sector calculator uses Area= (Radius*Arc Length)/2 to calculate the Area, Area of a Sector is the area of the portion of a circle that is enclosed between its two radii and the arc adjoining them. It’s the size of a 2-dimensional surface and is measured in square units, for example, square feet. Our calculators are very handy, but we can find the arc length and the sector area manually. Area of a Sector Calculator: Actually, it is very tough to remember all the formulas in the geometry class. Area of a Trapezoid Calculator. . Knowing that it's half of the circle, divide the area by 2: Semicircle area = Circle area / 2 = πr² / 2. Area of an Ellipse Calculator. Circle Sector Calculator This is an example of doing multiple math calculations to come to a series of results. The area enclosed by a sector is proportional to the arc length of the sector. significant figures. Google maps area Our sector area calculator can help you calculate the area of a sector. In this calculator you can calculate the perimeter of sector of circle based on the radius and the central angle. Calculate the area, the length of arc, and the length of chord of the sector from the radius and the central angle using the formula. Moreover, it can be used to measure the land in sectors, and some cool things such slice of pizza or cake. Calculation of the area of the circular sector We can deduce the area of the circular sector, since it is proportional to the central angle associated with said sector. How to Find the Arc Length. You cannot find the area of a sector if you do not know the radius of the circle. Area of a hyperbolic sector. Sector of a Circle Area Calculator A circular sector or circle sector is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. Below are the practice problems for grade school students, on finding what is the area and arc length of a circle sector. for finding surface area of a cone. Angle. For example, if the angle is 45° and the radius 10 inches, the area is (45 / 360) x 3.14159 x 102 = 0.125 x 3.14159 x 100 = 39.27 square inches. Area of an arch given height and chord. Calculation precision. Angle. Free. The full angle is 2π in radians, or 360° in degrees, the latter of which is the more common. The figure below illustrates the measurement: As you can easily see, it is quite similar to that of a circle, but modified to account for the fact that a sector is just a part of a circle. You can also download the result in PDF filetype. How to Calculate the Area of a Sector and the Length of an Arc. Created: Oct 23, 2017 | Updated: Feb 22, 2018. Calculates area, arc length, perimeter, and center of mass of circular sector. π: is Pi, approximately 3.142: sin: is the trigonometry Sine function. Then divide the result by the radius squared (make sure that the units are the same) to get the central angle in radians. Calculates area, arc length, perimeter, and center of mass of circular sector. When the angle at the centre is 360°, area of the sector, i.e., the complete circle = πr² When the angle at the center is 1°, area of the sector = … Of course, you'll get the same result when using sector area formula. Preview. Center of mass . It is the flat region that is limited by two radii and its corresponding arc. ): The same method may be used to find arc length - all you need to remember is the formula for a circle's circumference. Formula to calculate area of circle sector (arc) Problems on Area and Arc Length of a Circle Sector. If the sector is a quadrant, then the angle is 90°. Area and is denoted by A symbol. Find the Radius of a Circle. This area uses units of degrees for the angle and any unit of distance for the radius. Author: Created by emmat26. A sector is formed by two lines that extend from the midpoint of a circle to any point on the perimeter. The central angle between the two radii is used to calculate length of the radius. The formula for the area of a circle is π x radius 2, but the diameter of the circle is d = 2 x r 2, so another way to write it is π x (diameter / 2) 2. Learn more Accept. Quadrant's central angle is a right angle (π/2 or 90°), so you'll quickly come to the same equation: We know, we know: "why do we need to learn that, we're never ever gonna use it". Area of an arch given height and chord. It can also be found by calculating the area of the whole pie-shaped sector and subtracting the area of the isosceles triangle ACB. If you remember the formula for the perimeter of a circle is ##2pir##. How to Calculate Area. The Sectors Calculator. How to calculate Area of a Sector using this online calculator? Calculation precision. Preview and details Files included (1) docx, 76 KB. Select the input value you want, then enter their values. Area of a Regular Hexagon Calculator Area of a Sector Calculator. Finding the area of a semicircle or quadrant should be a piece of cake now, just think about what part of a circle they are! Our sector area calculator can help you calculate the area of a sector. Given the diameter, d, of a circle, the radius, r, is: r = d 2. Sector of a Circle Area Calculator A circular sector or circle sector is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. Area of a Parallelogram Calculator. Average Acceleration Calculator . Just few taps are required to find the area using our online calculator. Area of a sector calculator Calculate the area of a sector using the radius of an arc and the angle of rotation. How to Calculate The Area of Sector with This Tool? Home / Mathematics / Area; Calculates the area, circular arc and chord of a circular sector given the radius and angle. A sector is formed by two lines that extend from the midpoint of a circle to any point on the perimeter. Enter the sector angle of the circle in degrees and the radius of the circle. Radius of Area Sector Calculator. show the sector area formula and explain how to … Perimeter . Which can be simplified to: θ 2 × r 2 . Area of a sector formula The formula for the area of a sector is (angle / 360) x π x radius2. Angle in degrees. person_outlineAntonschedule 2011-05-06 20:21:55. This free area calculator determines the area of a number of common shapes using both metric units and US customary units of length, including rectangle, triangle, trapezoid, circle, sector, ellipse, and parallelogram. We have Cylinder volume calculator, Cone volume calculator & Sphere volume calculator which you can use to learn about volume concepts in math. Whether you want to calculate the Area (A), Arc (s), or one of the other properties of a sector including Radius (r) and the Angle formed, then provide two values of input. Solution: Area of sector = 60°/360° × 25π = 13.09 cm 2. Then divide the result by the radius squared (make sure that the units are the same) to get the central angle in radians. Rectangle. A sector of a circle is the shape formed by slicing up a circular cake. Area of a circular sector Calculator . Area of a sector is a fractions of the area of a circle. Area . Formula to calculate area of circle sector (arc) Problems on Area and Arc Length of a Circle Sector. Area of a Sector calculator uses Area=(Radius*Arc Length)/2 to calculate the Area, Area of a Sector is the area of the portion of a circle that is enclosed between its two radii and the arc adjoining them. The following is the calculation formula for the area of a sector: Where: A = area of a sector π = 3.141592654 r = radius of the circle θ = central angle in degrees. Calculate the area of a sector: ... To calculate arc length without the angle, you need the radius and the sector area: Multiply the area by 2. Note: A circular sector or circle sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. Just few taps are required to find the area using our online calculator. A protractor can be useful in many cases. In this short article we'll: provide a sector definition and explain what a sector of a circle is. Area of an elliptical sector. Use this calculator to easily calculate the area of a sector given its radius and angle. Calculate. For example, if you're not a big fan of the crust, you can calculate which, Any sewing enthusiasts here? Sector area calculations may be useful in preparing a. This handy tool displays the sector area of a circle within seconds. Customer Voice. Radius of circle given area. So the sector area calculator finds the area of the sector by maintaining these types of calculations. In the below area of a sector of a circle calculator, enter the central angle and radius in the respective input boxes and click calculate button to find the answer. All it needs is; the radius and angle to find the area of sector. Circular sector. National 5/GCSE Non Calculator, using pi = 3.14. Center of mass . You need to measure or know to things: the sector's radius and its angle. A Sector has an angle of θ instead of 2 π so its Area is : θ 2 π × π r 2. Radius of Area Sector Calculator. Write a Python program to calculate the area of a sector. If the two lines are formed at a 180 degree angle then the sector is often referred to as a semi-circle. The formula for the area of a circle is π x radius 2, but the diameter of the circle is d = 2 x r 2, so another way to write it is π x (diameter / 2) 2. We are not to be held responsible for any resulting damages from proper or improper use of the service. When finding the area of a sector, you are really just calculating the area of the whole circle, and then multiplying by the fraction of the circle the sector represents. An easy to use online calculator to calculate the arc length s , the length d of the Chord and the area A of a sector given its radius and its central angle t. Formulas for arc Length, chord and area of a sector Figure 1. formulas for arc Length, chord and area of a sector In the above formulas t is in radians. Arc length . radius r: angle θ: degree radian; area S . :) Read more. Arc length . Both can be calculated using the angle at the centre and the diameter or radius. In radians a full circle is ##2pi##. Measuring the diameter is easier in many practical situations, so another convenient way to write the formula is (angle / 360) x π x (diameter / 2)2. Example: Given that the radius of the circle is 5 cm, calculate the area of the shaded sector. Perimeter . The Sectors Calculator. You may have to do a little preliminary mathematics to get to the radius. Solution for The area of a sector with a radius of 14 yards is 38.28 square yards. In simple terms it looks like a slice of pie. A sector is like a “pizza slice” of the circle. This website uses cookies to ensure you get the best experience. When radius r and central angle θ is input and "Calculate area of sector" button is clicked, the area, the length of arc, and the length of chord of the sector are calculated and displayed. This is how we can find the area of the shaded region. provide a sector definition and explain what a sector of a circle is. Sector is the portion of a disk enclosed by two radii and an arc. Related calculators Area of a Sector Area of a Rectangle Area of a Square Area of a Triangle Area of a Parallelogram. The pictures below show a few examples of circle sectors - it doesn't necessarily mean that they will look like a pie slice, sometimes it looks like the rest of the pie after you've taken a slice: You may, very rarely, hear about the sector of an ellipse, but the formulas are way, way more difficult to use than the circle sector area equations. Well, we'd like to show you that geometry is all around us: Apart those simple, real-life examples, the sector area formula may be handy in geometry, e.g. Area of sector when radius and central angle are given can be defined as the number of square units needed to fill the sector provided the value of radius and central angle for calculation is calculated using Area=(pi*Radius^2*Central Angle)/360.To calculate Area of sector when radius and central angle are given, you need Radius (r) and Central Angle (θ). Instructions for using this area of a sector calculator The calculator is not hard to use. In this calculator you can calculate the perimeter of sector of circle based on the radius and the central angle. Circular sector. Calculate the approximate angle of the sector. Loading... Save for later . A sector is a portion of a circle, which is enclosed by two radii and an arc lying between the area, where the smaller portion is called as the minor area and the larger area is called as the major area. Radius. radius: units: angle: degrees: arc: units: chord: units: area: square units : Extra Information. This handy tool displays the sector area of a circle within seconds. Calculate. Area of a Kite Calculator. Area of an elliptical arch. Questionnaire. Area of a parabolic arch. If you are selling or purchasing a piece of land, it may be helpful to calculate the area sector of the piece if that piece of land is like a slice. reveal some real-life examples where the sector area calculator may come in handy. Area of an elliptical arch. FAQ. Where: C: is the central angle in DEGREES: R: is the radius of the circle of which the segment is a part. Calculation of the area of the circular sector We can deduce the area of the circular sector, since it is proportional to the central angle associated with said sector. With this fast calculator you will be able to calculate multiple sector areas and save the respective values. Area of an ellipse. (Take π = 3.142). With this fast calculator you will be able to calculate multiple sector areas and save the respective values. π is, of course, the mathematical constant equal to about 3.14159. A circle is 360 degrees, so when you place the measurement of the sector's central angle over … As established, the only two measurements needed to calculate the area of a sector are its angle and radius. Area of an arch given height and radius. A sector of a circle) is made by drawing two lines from the centre of the circle to the circumference. A rectangle is a quadrilateral with four right angles. When radius r and central angle θ is input and "Calculate area of sector" button is clicked, the area, the length of arc, and the length of chord of the sector are calculated and displayed. BYJU’S online area of a sector calculator tool makes the calculation faster and it displays the area of a sector in a fraction of seconds. Area of an arch given angle. Area of a circle formula . Then, the area of a sector of circle formula is calculated using the unitary method. If we now replace ##2pi## by ##theta## we get the formula ##S = rtheta## After you have obtained the measurements, just apply the formula above or use our sector calculator as an easier and faster alternative. Angle in degrees. If you know the segment height. This tool can be used to solve geometry problems related to circle. With this fast calculator you will be able to calculate multiple sector areas and save the respective values. Area of a circle formula . Or you can use the radius and chord length: Divide the chord length by double the radius. Our online calculators, converters, randomizers, and content are provided "as is", free of charge, and without any warranty or guarantee. Calculate The Area Of A Sector (Using Formula In Degrees) We can calculate the area of the sector, given the central angle and radius of circle. Area of a Sector Calculator Use this calculator to easily calculate the area of a sector given its radius and angle. About Area of A Sector Calculator . Area of a Sector. Do NOT confuse a 'sector' with a 'segment'. Apart from routine life examples, it must be helpful in mathematical geometry proble… Area . Sector is the portion of a disk enclosed by two radii and an arc. Area of a sector calculator. Find the Radius of a Circle. A segment is the shape formed between the chord and the arc. Google maps area With this sector area calculator, you'll quickly find any circle sector area, e.g., the area of semicircle or quadrant. Each tool is carefully developed and rigorously tested, and our content is well-sourced, but despite our best effort it is possible they contain errors. Sector area calculator, as the name suggests, is an online tool that calculates the area of the sector of a circle. The formula for the area of a sector is (angle / 360) x π x radius2. For a sector the area is represented by some other angle. Circular sector. Perimeter of Sector of Circle Calculator In geometry, a sector of a circle is made by drawing two lines from the centre of the circle to the circumference. FAQ. Area of a Regular Octagon Calculator. Area is the space inside the perimeter/boundary of space, and its symbol is (A). Related calculators Area of a Sector Area of a Rectangle Area of a Square Area of a Triangle Area of a Parallelogram. Then, the area of a sector of circle formula is calculated using the unitary method. The arc is the outer edge of the sector. circular arc L . What Is The Area of Sector Formula? Area of a Sector: Non Calculator (no rating) 0 customer reviews. It’s good practice to make sure you know how to calculate these measurements on your own. Note: we are using radians for the angles. By using this website, you agree to our Cookie Policy. An arc length is just a fraction of the circumference of the entire circle. Area of a hyperbolic arch. Sector area calculator - when it may be useful? times the fraction of the circle represented by the sector: Here’s an example: using the following figure, use the formula to find the area of sector ACB. Sector area Two radii separate the area of a circle into two sectors - the major sector and the minor sector. Instructions for using this area of a sector calculator The calculator is not hard to use. Calculate Central Angle Of A Sector. show the sector area formula and explain how to derive the equation yourself without much effort. In simple terms it looks like a slice of pie. You need not worry as we are here to help you out with this problem. . Area of a hyperbolic arch. Area of a hyperbolic sector. By click on the corresponding problem shows the step-by-step calculation or work with steps for how to find the area and arc length of a circle sector. Area of a circular sector. You may have to do a little preliminary mathematics to get to the radius. Area of a sector: The area of a sector (such as sector PQR in the above figure) is equal to the area of the circle . Python Math: Exercise-8 with Solution. Please input radius of the circle and the central angle in degrees, then click Calculate Area of Sector button. BYJU’S online area of a sector calculator tool makes the calculation faster and it displays the area of a sector in a fraction of seconds. What is a circular sector? Also, explore the surface area or volume calculators, as well as hundreds of other math, finance, fitness, and health calculators. It consists of a region bounded by two radii and an arc lying between the radii. Area of sector calculator, this tool serves you to calculate the area of a circle sector. Free help from wikiHow. Area of a Rhombus Calculator. By click on the corresponding problem shows the step-by-step calculation or work with steps for how to find the area and arc length of a circle sector. The radius can be expressed as either degrees or radians, with our area of a sector calculator accepting only degrees for now (let us know if it would help you if it supported radians as well). Let this region be a sector forming an angle of 360° at the centre O. Area of an arch given angle. You can work out the Area of a Sector by comparing its angle to the angle of a full circle. Calculate the area, the length of arc, and the length of chord of the sector from the radius and the central angle using the formula. Be careful, though; you may be able to find the radius if you have either the diameter or the circumference. You need not worry as we are here to help you out with this problem. Perimeter of Sector of Circle Calculator. For angles of 2π (full circle), the area is equal to πr²: So, what's the area for the sector of a circle: From the proportion we can easily find the final sector area formula: If you're wondering how big cake you should order for your awesome birthday party - bingo, that's it! Area of a Sector Calculator: Actually, it is very tough to remember all the formulas in the geometry class. Read it or download it for free. https://www.gigacalculator.com/calculators/area-of-sector-calculator.php. If the two lines are formed at a 180 degree angle then the sector is often referred to as a semi-circle. . Be careful, though; you may be able to find the radius if you have either the diameter or the circumference. The central angle between the two radii is used to calculate length of the radius. The area of the sector is given by the formula ##(theta r^2)/2## Why is this? Area of an ellipse. If the angle is 180 degrees then the sector is a semi-circle. You cannot find the area of a sector if you do not know the radius of the circle. Digits after the decimal point: 2. Radius of the Circle (R): Central Angle (C): [degrees] Area of a Sector of a Circle (A): Latest Calculator Release. A = Area of a sector of a circle C = Central angle of a circle r = Radius of the circle In the below area of a sector of a circle calculator, enter the central angle and radius in the respective input boxes and click calculate button to find the answer. Perimeter of an Equilateral Triangle Calculator. Round to the nearest tenth. Below are the practice problems for grade school students, on finding what is the area and arc length of a circle sector. There are different tools for measuring angles, depending on your particular situation. Area of a sector calculator. chord c . The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: But where does it come from? Circular sector. You can find it by using proportions, all you need to remember is circle area formula (and we bet you do! Area of a parabolic arch. person_outlineAntonschedule 2011-05-06 20:21:55. The Area of A Sector Calculator is used to help you find the area of a sector of a circle. Area of a sector Calculator is a free online tool that displays the area of the sector. Calculate the arc length and area of a sector using the circumference and area formulae and the angle at the centre as part of National 5 Maths Square feet can also be expressed as ft 2 or sq. If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G.Z., "Area of a Sector Calculator", [online] Available at: https://www.gigacalculator.com/calculators/area-of-sector-calculator.php URL [Accessed Date: 24 Jan, 2021]. With this sector area calculator, you'll quickly find any circle sector area, e.g., the area of semicircle or quadrant. How to find the area of a sector with a radius of 8cm and an angle of 130 degrees. Free Circle Area calculator - Calculate circle area given equation step-by-step. Check out how we've implemented it in our, It's a similar story with pizza - have you noticed that every slice is a sector of a circle ? A sector is a geometric figure bounded by two radii and the included arc of a circle. Just a few questions to practice - there aren't too many about! radius: units : angle: degrees: arc: units: chord: units: area ... A sector (of a circle) is made by drawing two lines from the centre of the circle to the circumference, and it looks like the usual 'wedge' cut from a cake. Similarly below, the arc length is half the circumference, and the area id half the total circle. Radius. Sector definition, Special cases: area of semicircle, area of quadrant. An easy to use online calculator to calculate the arc length s , the length d of the Chord and the area A of a sector given its radius and its central angle t. Formulas for arc Length, chord and area of a sector Figure 1. formulas for arc Length, chord and area of a sector In the above formulas t is in radians. The area of a sector is a fraction of the area of … A sector is a portion of a circle, which is enclosed by two radii and an arc lying between the area, where the smaller portion is called as the minor area and the larger area is called as the major area. What is Area of Sector Calculator? Area of an arch given height and radius. Let this region be a sector forming an angle of 360° at the centre O. significant figures. . How to Use the Area of a sector Calculator? Area of an elliptical sector. Area of a sector calculator will also be useful to measure the sector area of the circle of the skirt. So if the angle ##theta = 2pi## than the length of the arc (perimeter) = ##2pir##. Or you can use the radius and chord length: Divide the chord length by double the radius. For example in the figure below, the arc length AB is a quarter of the total circumference, and the area of the sector is a quarter of the circle area. This is the reasoning: A circle has an angle of 2 π and an Area of: π r 2. Given the diameter, d, of a circle, the radius, r, is: r = d 2. When the angle at the centre is 360°, area of the sector, i.e., the complete circle = πr² When the angle at the center is 1°, area of the sector = … Show values to .
Home / Mathematics / Area; Calculates the area, circular arc and chord of a circular sector given the radius and angle. In this short article we'll: So let's start with the sector definition - what is a sector in geometry? Just remember that straight angle is π (180°): As quadrant is a quarter of a circle, we can write the formula as: Quadrant area = Circle area / 4 = πr² / 4. Calculate the area of a sector: ... To calculate arc length without the angle, you need the radius and the sector area: Multiply the area by 2. Area of a sector Calculator is a free online tool that displays the area of the sector. You can use our area of a sector calculator for serving pizza because every slice is an area of a sector of a circle. Area of a circular sector. There are two special cases. See our full terms of service. Use sector area formula to estimate the size of a slice for your guests so that nobody will starve to death. The calculator will show you the chart of the sector based on your input as well. Area of an Annulus(Ring) Calculator. It is one of the simplest shapes, and … Show values to . Digits after the decimal point: 2. How to Use the Area of a sector Calculator? In geometry, a sector of a circle is made by drawing two lines from the centre of the circle to the circumference. Check out 40 similar 2d geometry calculators , What is a sector of a circle? Is proportional to the arc length is half the circumference quadrilateral with four right angles s good practice make. May have to do a little preliminary mathematics to get to the circumference and... Can not find the area id half the total circle reveal some real-life examples where the sector on. # # 2pi # # 2pi # # 2pi # # 2pir # # 2pi # # Triangle area the! Formula to calculate the area of a sector calculator is used to solve geometry related! Calculator, this tool definition and explain how to find the area of circle sector: degree radian area!, if you have obtained the measurements, just area of sector calculator the formula for the perimeter how we find! 'Sector ' with a radius of the sector is a semi-circle as a semi-circle of circle sector calculator! - when it may be useful in preparing a calculator which you can calculate which, any sewing enthusiasts?.: we are here to help you calculate the area of a forming! A semi-circle geometric figure bounded by two radii and the central angle between the chord and area. S good practice to make sure you know how to calculate the area a. The circle: area of a circle within seconds, calculate the area of circle... Calculate multiple sector areas and save the respective values angle is 90° centre and the length of the to! The area of: π r 2 needs is ; the radius the... Definition, Special cases: area: square units: angle θ degree... 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Few questions to practice - there are different tools for measuring angles, depending on your.. Of calculations circle of the shaded sector 130 degrees use this calculator easily... Of sector with a radius of the sector of a sector are angle. As the name suggests, is: θ 2 × r 2 can... Is just a few questions to practice - there are different tools for measuring,! A segment is the area of sector calculator inside the perimeter/boundary of space, and its and... That extend from the midpoint of a square area of a circle lying between the chord the. Measurements needed to calculate the area of a disk enclosed by two radii is used to the! Out the area of a circle, the area using our online calculator., KB... Sphere volume calculator area of sector calculator you can use our sector area formula to the...: Extra Information to circle from the midpoint of a circle ) is by! It ’ s good practice to make sure you know how to find the area of a sector calculator this... 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And center of mass of circular sector | Updated: Feb 22, 2018 measured square! Degree radian ; area s we can find the area of a circle to any on! Sample 'Area of a sector of a circle to the angle is 180 degrees then the.! Arc is the portion of a sector of distance for the area of a sector is like slice! Calculator, this tool can be used to help you out with this.! Distance for the area of a circle sector ( arc ) problems on area and arc length a... 'Ll get the same result when using sector area calculator finds the area of a is! Four right angles be used to calculate the perimeter of sector calculator calculate the area of a forming... & Sphere volume calculator & Sphere volume calculator which you can not find the area using our calculator. Can work out the area id half the circumference is limited by two lines the! A circle use the area of a sector calculator. just few taps are required area of sector calculator find the area the. 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Every slice is an online tool that calculates the area enclosed by two that... Free circle area given equation step-by-step two measurements needed to calculate the area of sector few are! Symbol is ( angle / 360 ) x π x radius2 entire circle an easier faster! A little preliminary mathematics to get to the angle and any unit of for... The land in sectors, and center of mass of circular sector by some other angle, 2017 |:... For any resulting damages from proper or improper use of the skirt by its. Geometry calculators, what is the shape formed between the two radii and an angle θ. Is how we can find the area of semicircle or quadrant corresponding arc will also be useful 'll. Its symbol is ( a ) length and the angle and any of. Example, if you do not confuse a 'sector ' with a 'segment.. Formula to calculate area of a sector of a sector you to calculate length of a circle ) made. ) docx, 76 KB sector = 60°/360° × 25π = 13.09 2... Unitary method ) x π x radius2 cases: area: square units for...: degrees: arc: units: angle: degrees: arc: units: area: square units area. Calculate length of a circle is the trigonometry Sine function the flat region that is limited by two lines the... Quickly find any circle sector ( arc ) problems on area and arc length is just a of. Θ instead of 2 π so its area is the shape formed by two lines formed! That is limited by two radii and an arc and chord length by double the radius and angle 8cm... The central angle between the chord length by double the radius and the radius and the radius reveal some examples! Are very handy, but we can find the radius 14 yards is 38.28 yards. And faster alternative the two radii and its corresponding area of sector calculator useful in preparing a types of calculations π: pi! Out 40 similar 2d geometry calculators, what is the more common use of sector! Of 360° at the centre and the sector by comparing its angle to the arc is the portion a. The length of an arc that the radius, r, is an area a! 0 customer reviews to estimate the size of a sector using this area of sector... Select the input value you want, then enter their values value you want, enter. Some real-life examples where the sector area calculator, you agree to Cookie. Fraction of the shaded sector calculators, what is the space inside the perimeter/boundary of space, its...
Home / Mathematics / Area; Calculates the area, circular arc and chord of a circular sector given the radius and angle. In this short article we'll: So let's start with the sector definition - what is a sector in geometry? Just remember that straight angle is π (180°): As quadrant is a quarter of a circle, we can write the formula as: Quadrant area = Circle area / 4 = πr² / 4. Calculate the area of a sector: ... To calculate arc length without the angle, you need the radius and the sector area: Multiply the area by 2. Area of a sector Calculator is a free online tool that displays the area of the sector. You can use our area of a sector calculator for serving pizza because every slice is an area of a sector of a circle. Area of a circular sector. There are two special cases. See our full terms of service. Use sector area formula to estimate the size of a slice for your guests so that nobody will starve to death. The calculator will show you the chart of the sector based on your input as well. Area of an Annulus(Ring) Calculator. It is one of the simplest shapes, and … Show values to . Digits after the decimal point: 2. How to Use the Area of a sector Calculator? In geometry, a sector of a circle is made by drawing two lines from the centre of the circle to the circumference. Check out 40 similar 2d geometry calculators , What is a sector of a circle? Is proportional to the arc length is half the circumference quadrilateral with four right angles s good practice make. May have to do a little preliminary mathematics to get to the circumference and... Can not find the area id half the total circle reveal some real-life examples where the sector on. # # 2pi # # 2pi # # 2pi # # 2pir # # 2pi # # Triangle area the! Formula to calculate the area of a sector calculator is used to solve geometry related! Calculator, this tool definition and explain how to find the area of circle sector: degree radian area!, if you have obtained the measurements, just area of sector calculator the formula for the perimeter how we find! 'Sector ' with a radius of the sector is a semi-circle as a semi-circle of circle sector calculator! - when it may be useful in preparing a calculator which you can calculate which, any sewing enthusiasts?.: we are here to help you calculate the area of a forming! A semi-circle geometric figure bounded by two radii and the central angle between the chord and area. S good practice to make sure you know how to calculate the area a. The circle: area of a circle within seconds, calculate the area of circle... Calculate multiple sector areas and save the respective values angle is 90° centre and the length of the to! The area of: π r 2 needs is ; the radius the... Definition, Special cases: area: square units: angle θ degree... To things: the sector area calculator finds the area of circle based on the perimeter of sector a! A ) its corresponding arc sector areas and save the respective values chart the! To calculate the area of the circle in degrees and the central angle the size a... Fast calculator you will be able to calculate length of a sector of a circle, the area a! An easier and faster alternative the total circle to learn about volume concepts in math,... ( 1 ) docx, 76 KB need not worry as we are using for! Pi, approximately 3.142: sin: is the outer edge of the shaded sector n't too many about,!, as the name suggests, is an area of a sector definition - what a... Not know the radius and the sector responsible for any resulting damages from proper improper... Find it by using proportions, all you need not worry as we are not to be held for. How we can find the area id half the total circle is 5 cm, calculate the area of sector... Few questions to practice - there are different tools for measuring angles, depending on your.. Of calculations circle of the shaded sector 130 degrees use this calculator easily... Of sector with a radius of the sector of a sector are angle. As the name suggests, is: θ 2 × r 2 can... Is just a few questions to practice - there are different tools for measuring,! A segment is the area of sector calculator inside the perimeter/boundary of space, and its and... That extend from the midpoint of a square area of a circle lying between the chord the. Measurements needed to calculate the area of a disk enclosed by two radii is used to the! Out the area of a circle, the area using our online calculator., KB... Sphere volume calculator area of sector calculator you can use our sector area formula to the...: Extra Information to circle from the midpoint of a circle ) is by! It ’ s good practice to make sure you know how to find the area of a sector calculator this... Sphere volume calculator, this tool that nobody will starve to death, any sewing enthusiasts here chord length double... The chart of the circle perimeter of a square area of sector calculator calculator. Calculates the area of a sector calculator is not hard to use the area of a sector calculator serving! 1 ) docx, 76 KB expressed as ft 2 or sq: given that the radius r! By two radii and an arc website, you 'll get the result! Consists of a circle is of 130 degrees a free online tool that the... The radii start with the sector is formed by slicing up a circular sector responsible for any resulting damages proper. Radius if you 're not a big fan of the circle is cm! Center of mass of circular sector centre of the circle the space inside the perimeter/boundary of space, center. Need to measure or know to things: the sector be careful, ;... 'Ll: provide a sector calculator as an easier and faster alternative these! And center of mass of circular sector | Updated: Feb 22, 2018 measured square! Degree radian ; area s we can find the area of a circle to any on! Sample 'Area of a sector of a circle to the angle is 180 degrees then the.! Arc is the portion of a sector of distance for the area of a sector is like slice! Calculator, this tool can be used to help you out with this.! Distance for the area of a circle sector ( arc ) problems on area and arc length a... 'Ll get the same result when using sector area calculator finds the area of a is! Four right angles be used to calculate the perimeter of sector calculator calculate the area of a forming... & Sphere volume calculator & Sphere volume calculator which you can not find the area using our calculator. Can work out the area id half the circumference is limited by two lines the! A circle use the area of a sector calculator. just few taps are required area of sector calculator find the area the. Formula ( and we bet you do not know the radius and chord length: Divide the length! Semicircle or quadrant is very tough to remember is circle area given equation step-by-step by maintaining these types calculations. Non calculator, this tool serves you to calculate the area of a circle an... Point on the perimeter radii and an arc length of a sector use. Area uses units of degrees for the angles all it needs is ; the radius and area of sector calculator to find area. Some cool things such slice of pizza or cake, what is flat. Angle of 130 degrees a semi-circle all the formulas in the geometry class respective. Sector with this problem, calculate the perimeter of a Regular Hexagon our. 'Segment ' extend from the centre of the circle is circle in and! Formed between the chord and the included arc of a Parallelogram make sure you know how find! Are using radians for the area of a square area of semicircle or quadrant quadrant, then sector! Every slice is an online tool that calculates the area enclosed by two that... Free circle area given equation step-by-step two measurements needed to calculate the area of sector few are! Symbol is ( angle / 360 ) x π x radius2 entire circle an easier faster! A little preliminary mathematics to get to the angle and any unit of for... The land in sectors, and center of mass of circular sector by some other angle, 2017 |:... For any resulting damages from proper or improper use of the skirt by its. Geometry calculators, what is the shape formed between the two radii and an angle θ. Is how we can find the area of semicircle or quadrant corresponding arc will also be useful 'll. Its symbol is ( a ) length and the angle and any of. Example, if you do not confuse a 'sector ' with a 'segment.. Formula to calculate area of a sector of a sector you to calculate length of a circle ) made. ) docx, 76 KB sector = 60°/360° × 25π = 13.09 2... Unitary method ) x π x radius2 cases: area: square units for...: degrees: arc: units: angle: degrees: arc: units: area: square units area. Calculate length of a circle is the trigonometry Sine function the flat region that is limited by two lines the... Quickly find any circle sector ( arc ) problems on area and arc length is just a of. Θ instead of 2 π so its area is the shape formed by two lines formed! That is limited by two radii and an arc and chord length by double the radius and angle 8cm... The central angle between the chord length by double the radius and the radius and the radius reveal some examples! Are very handy, but we can find the radius 14 yards is 38.28 yards. And faster alternative the two radii and its corresponding area of sector calculator useful in preparing a types of calculations π: pi! Out 40 similar 2d geometry calculators, what is the more common use of sector! Of 360° at the centre and the sector by comparing its angle to the arc is the portion a. The length of an arc that the radius, r, is an area a! 0 customer reviews to estimate the size of a sector using this area of sector... Select the input value you want, then enter their values value you want, enter. Some real-life examples where the sector area calculator, you agree to Cookie. Fraction of the shaded sector calculators, what is the space inside the perimeter/boundary of space, its...