https://www.gigacalculator.com/calculators/area-of-sector-calculator.php. Hemera Technologies/PhotoObjects.net/Getty Images, Worsley School: Arc Length and Area of a Sector, Regents Prep: Area of a Segment in a Circle. Given the circumference, C of a circle, the radius, r, is: r = C (2 Ï) Once you know the radius, you have the lengths of two of the parts of the sector. The calculator will show you the chart of the sector based on your input as well. The central angle (Î¸) = 20 â. Calculates the radius, diameter and circumference of a circle given the area. You can also use Double the area of the segment. When angle of the sector is 360 Find the length of its arc and area. How to find the radius of a sector, when given only the angle and perimeter of the sector? Remember, the area of a circle is {\displaystyle \pi r^ {2}}. Formulas The formula for finding the circumference of a circle is $\pi \cdot \text{diameter} = 2 Sector area formula. Note that our answer will always be an area so the units will always be squared. 350 divided by 360 is 35/36. 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 and is represented as A=(pi*r^2*Î¸)/360 or Area=(pi*Radius^2*Central Angle)/360.. For the example, 48 divided by 1.0472 results in 45.837. Example 1: A sector is cut from a circle of radius 21 cm. A sector is best thought of as a piece of pie, and the bigger the angle of the sector, the bigger slice of pie. Enter the 2 lines of data. 4) p / 4. The Link below the formula â¦ Since $\large \frac{240}{360} \normalsize = \frac{2}{3}$ the symmetry of the circle tells us that the length of the arc forming the green section is two-thirds of the circumference of the circle. What would its central angle be in degrees? Where (for brevity) it says 'radius', 'arc' and so on, it should, more correctly, be something like 'length of radius' or 'arc-length' etc, and 'angle' means 'angle at the centre'. You cannot find the area of a sector if you do not know the radius of the circle. Where (for brevity) it says 'radius', 'arc' and so on, it should, more correctly, be something like 'length of radius' or 'arc-length' etc, and 'angle' means 'angle at the centre'. Clearly the angle cannot be greater than 360 degrees. 625 = 162 Î¸. Assumed prior knowledge: Rounding with significant figures and decimals. Clearly the angle cannot be greater than 360 degrees. The area of the full circle is 5 2 Ï = 25Ï, so the area of the semi-circle is half of that, or 12.5Ï. Find the central angle of the sector. Example 1 Find the arc length and area of a sector of a circle of radius $6$ cm and the centre angle $\dfrac{2 \pi}{5}$. As established, the only two measurements needed to calculate the area of a sector are its angle and radius. The area of sector AOB is equal to the area of sector DOC because the central angle measures are equal. cm? In the circle below of radius 7.5 cm I have cut out a sector with center angle 240 degrees from which I want to construct a cone. This problem has been solved! Sol. Sector: is like a slice of pie (a circle wedge). This must also be the radius of each of the sectors which represents each fan's fabric. You only need to know arc length or the central angle, in degrees or radians. When we know the radius r of the circle and arc length l: Area of the sector = (l â
r) / 2 Example 1 : Find the area of the sector whose radius and central angle are 42 cm and 60 respectively. Hi Jessica, In the circle below of radius 7.5 cm I have cut out a sector with center angle 240 degrees from which I want to construct a cone. Both can be calculated using the angle at the centre and the diameter or radius. A protractor can be useful in many cases. Therefore the diameter of the semicircle is 10 feet, so the radius is 5 feet. The Radius of a Sector Formula calculates the radius by dividing the length of an arc by the value of circumference of Ï. Rearranging the formulas will help to solve for the value of the central angle, or theta. Given the diameter, d, of a circle, the radius, r, is: r = d 2. 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. Transcript Ex 12.2, 14 Tick the correct answer in the following : Area of a sector of angle p (in degrees) of a circle with radius R is (A) /180 2 R (B) /180 R2 (C) /360 2 R (D) /720 2 R2 Area of a sector = /360 2 Where = angle , r = radius of circle Here, we have = p and radius = R Putting these values in formula Area of sector = /360 2 = /360 2 But , these is no such â¦ Using the Area Set up the formula for the area of a circle. Here, we can say that the shaded portion is the minor sector and the other portion is the major sector. The radius of this segment is 6.77 cm. Show transcribed â¦ The given diameter is 6, which means the radius is 3. 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. Consider a sector area of 52.3 square centimeters with a radius of 10 centimeters. You can also use the arc length calculator to find the central angle or the circle's radius. And then we just can solve for area of a sector by multiplying both sides by 81 pi. There are different tools for measuring angles, depending on your particular situation. Copyright 2021 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. Î¸ = 3.86 radians. In this figure the green shaded part is a sector, ârâ is the Radius and âthetaâ is the angle as shown. The formula for finding the circumference of a circle is $\pi \cdot \text{diameter} = 2 \cdot \pi \cdot \text{radius}$ The formula for finding the area of a circle is $\pi \cdot \text{radius}^2$ For the example, the square root of 45.837 is 6.77. Question: The Radius Of A Sector Of One Circle Is Twice As Long As The Radius Of A Second Circle, And Their Areas Are The Same. Finding the radius of a circle when given the area of the sector and the measure of the central angle I know the angle of the sector, \\dfrac{\\pi}{3} and the lengths of â¦ Divide the area doubled by the number obtained in the previous step. In a circle with centre O and radius r, let OPAQ be a sector and Î¸ (in degrees) be the angle of the sector. PROOF Prove that the area of a circular sector of radius r with central angle \theta is A = \frac{1}{2}\theta r^2, where \theta is measured in radians. The image above is a sector. That distance is known as the radius of the circle. Hello I have a question where I need to find the area of a circle inscribed, I think that's the right word, in a sector. Make sure to check out the equation of a circle calculator, too! A sector of a circle) is made by drawing two lines from the centre of the circle to the circumference. Please support my channel by becoming a Patron: www.patreon.com/MrHelpfulNotHurtful 0207H - Day 01 HW #14 - How do you find the radius given the sector area? Find the square root of that number. Indeed, one formula that can help in determining the central angle states that the arc length (s) is equal to the radius times the central angle, or s = r × Î¸, where the angle, theta, must be measured in radians. Substitute both the radius and theta to solve for the area. Simply input any two values into the appropriate boxes and watch it conducting all calculations for you. After you have obtained the measurements, just apply the formula above or use our sector calculator as an easier and faster alternative. Problem 41 In the diagram, the sector of a circle is subtended by two perpendicular radii. 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. He has the unofficial record for the most undergraduate hours at the University of Texas at Austin. Sol. So, the radius of the sector is 126 cm. 81 pi, 81 pi-- so these cancel out. The radius s of the sector is equal to the slant height s of the cone. Find the Radius of a Circle. Affiliate So if I can find the area of the rectangle between the top and bottom solid black lines and the left and right dashed red lines, and subtract from this the (green) area of the fans' fabrics, I'll have the area of the (white) "waste" fabric. View solution Sector area is found $\displaystyle A=\dfrac{1}{2}\theta r^2$, where $\theta$ is in radian. Let this region be a sector forming an angle of 360 at the centre O. A = (1 / 2) r 2 Î¸ (1) Simplifying expressions. Calculate The Centre Angle Of The Sector. Be careful, though; you may be able to find the radius if you have either the diameter or the circumference. ( T a k e Ï = 7 2 2 ) . Tangent: a line perpendicular to the radius that touches ONLY one point on the circle. Plugging our radius of 3 into the formula we get A = 9Ï meters squared or approximately 28.27433388 m2. Find the length of its arc and area. 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). For example, if the segment area is 24 cm^2, then doubling it results in 48 cm^2. You can find the radius of both the sector and the circle by using the sector's angle and area. , where equals the â¦ The radius s of the sector is equal to the slant height s of the cone. To make a cone, we start with a sector of central angle Î¸ and radius s, we then joint points A and B letting point O move upward untill OA and OB are coincident. To compute the area of a sector, two essential parameters is needed and this parameters are the radius of the sector (r) and the angle of the sector (Î¸). Calculator to Angle Î¸ and Radius s of the Sector to Make a Cone Enter the radius r of the base and height h of the cone as positive real numbers and press "Calculate". 2) 1 / âp. Solution: (4) p / 4. A circle is the set of all points in a plane at a fixed distance, called the radius, from a given point, the centre. Do NOT confuse a 'sector' with a 'segment'. ( Î¸) = 20 â. The total area of the plot is the square less the semicircle: 900 - 12.5Ï square feet If the radius of a circle is r then this is the hypotenuse of the right angled triangle so we can write the equation as: x 2 + y 2 = r 2 This is the equation of a circle in standard form in Cartesian coordinates. Example 2 : Find the radius, central angle and perimeter of a sector whose arc length and area are 27.5 cm and 618.75 cm 2 respectively. For the example, the sector's angle is 60 degrees. The outputs are the angle Î¸ in degrees and the radius s of the sector needed to make the cone. The sector of a circle is a partition of that circle. 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. Each side of the segment is a radius of the circle. The area of the sector of a circle of radius 10.5 cm is 69.3 cm^2. Solution for Find the area of the sector of a circle of radius 16 units subtended by an angle of 150â. How to Calculate The Area of Sector with This Tool? If the radius of the sector is 18 mm, find the central angle of the sector in radians. P inoyBIX educates thousands of reviewers and students a day in preparation for their board examinations. Starter: Spot the mistake activity: calculating the area of a sector. Find the area of the sector. If the sector is a quadrant, then the angle is 90°. You can find the radius of both the sector and the circle by using the sector's angle and area. The area of the semi-circle is half the area of a circle with radius 5. You may have to do a little preliminary dr r The diameter is twice as long as the radius. The radius of the circle (r) = 19 m. ( r) = 19 m. and. In the diagram, Î¸ is the central angle, {\displaystyle r} the radius of the circle, and {\displaystyle L} is the arc length of the minor sector. The Perimeter Of A Sector Is P The Area Of The Sector Is Maximum When Its Radius Is. Double the area of the segment. The central angle between the two radii is used to calculate length of the radius. Our online calculators, converters, randomizers, and content are provided "as is", free of charge, and without any warranty or guarantee. If the angle is 360 degrees then the sector is a full circle. The Radius of a Sector of a Circle is 7 Cm. 3) p / 2. Asked by: Yaw Endrizzi asked in category: General Last Updated: 23rd June, 2020 How do you find the angle of a sector with radius and arc length? See our full terms of service. Multiplying 60 by Ï results in 188.496, and dividing that number by 180 results in 1.0472. Answer to: The area of a sector of a circle with a central angle of 3\\pi/14 rad is 21 m^{2}. The angle of the sector is 150º. The formula for the area of a sector is (angle / 360) x Ï x radius2. When not working on his children's book masterpiece, he writes educational pieces focusing on early mathematics and ESL topics. You can find it by using proportions, all you need to remember is circle area formula (and we bet you do! Example 7. Fractions of amounts. Find the area of the shaded region in the given figure, where a circular arc of radius 6 cm has been drawn with vertex of an equilateral triangle of side 12 cm as centre and a sector of circle of radius 6 cm with centre B is made. Excelling learners will be able to solve unfamiliar problems using their knowledge calculating the angle and radius of a sector. 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. Area of a sector is a fractions of the area of a circle. The area of a sector is 625mm 2. A circular sector or circle sector (symbol: â), 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. Example Problems 1) A circle has a radius of 7 and a central angle of 2 radians. Click the "Arc Length" button, input radius 7 and central angle =2. Chance E. Gartneer began writing professionally in 2008 working in conjunction with FEMA. Let r be the radius of the circle and angle Î¸ subtended at the centre of the circle. Click "CALCULATE" and you have your answer. Find the radius of the circle. Multiply the sector's angle by Ï, which is a numerical constant that begins 3.14, then divide that number by 180. 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: 04 Feb, 2021]. (Take Ï = 3.14 and round your answer Area of the circular region is Ïr². Since $\large \frac{240}{360} \normalsize = \frac{2}{3}$ the symmetry of the circle tells us that the length of the arc forming the green section is two-thirds of the circumference of the circle. A segment is the shape formed between the chord and the arc. Start by clicking "Arc Length", "Radius" or "Central Angle". Example 1: A sector is cut from a circle of radius 21 cm. See the answer. 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. The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * Î± / 2; But where does it come from? What is the area of the sector in sq. 625 = 18 x 18 x Î¸/2. Here you can calculate the area, diameter, circumference of a circle and also area of a sector. The perimeter of a sector is p. The area of the sector is maximum when its radius is. (Last Updated On: January 21, 2020) Problem Statement: ECE Board April 1998 The angle of a sector is 30 and the radius is 15 cm. Please input radius of the circle and the central angle in degrees, then click Calculate Area of Sector button. Area of sector In a circle with radius r and center at O, let â POQ = Î¸ (in degrees) be the angle of the sector. A sector extends from the center, or origin, of the circle to its circumference and encompasses the area of any given angle that also originates from the center of the circle. You can also use the diameter of the sector (d). 1) âp. Area of the sector of the circle =`Î¸/360xxpir^2` Therefore, area of the sector is =`Î¸/360xxpir^2`CBSE Previous Year Question Paper With Solution for What is the arc length? Radius of Area Sector Calculator. âLâ is the Arc of the Sector. Divide both sides by 162. Area of a Sector Formula To compute the Perimeter or Circumference a sector, two essential parameters is needed and this parameters are the radius of the sector (r) and the angle of the sector (Î¸). Use this calculator to easily calculate the area of a sector given its radius and angle. If the angle Calculate the area of a sector: A = r² * Î¸ / 2 = 15² * Ï/4 / 2 = 88.36 cm². Given angle in radian is Î¸ = 3Ï 14 radian Î¸ = 3 Ï 14 r a d i a n. Area of a sector is A= 21 m2 A = 21 m 2. The angle of a sector, also called the central angle, or theta, can be determined from the arc length, sector area and perimeter based on various formulas. A circular sector or circle sector (symbol: ), 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. Solution : Given that l = 27.5 cm and Area = 618.75 cm 2. You need to measure or know to things: the sector's radius and its angle. The angle of the sector is 150º. The arc length l and area A of a sector of angle Î¸ in a circle of radius r are given by : 234 In the diagram, Î¸ is the central angle, the radius of the circle, and is the arc length of the minor sector. If the angle is 360 degrees then the sector is a full circle. So, Area = lr/ 2 = 618.75 cm 2 (275 â
â¦ Here, r = 10.5 cm and Ó© = 60 Now,Length of Arc Now, Perimeter of sector = 2r + length of Arc = 2 x 10.5 + 11 = 21 + 11 = 32 cm We have, r = Radius of the region representing Gold score = 10.5 cm â´ r 1 = Radius of the region representing Gold and â¦ Tangent: a line perpendicular to the radius that touches ONLY one point on the circle. The canopy of a parachute is a semicircle with a radius of 13 feet. area S 6digit 10digit 14digit 18digit 22digit 26digit 30digit 34digit 38digit 42digit 46digit 50digit For example, if the segment area is 24 cm^2, then doubling it results in 48 cm^2. How do you find the radius of a sector if you are given the angle (120) and the perimeter (36cm) I am in yr 11 maths studies so please don't use the really complex formulas. The radius is the distance from the edge of the circle to the centre. A chord of a circle radius 1 4 c m subtends an angle of 3 0 o at the centre, Find the areas of both, minor sector and major sector of the circle. Clicking "RESET" clears all of the boxes. The image above is a sector. Area of a sector = (Î¸r 2)/2. In geometry, a circle is a closed curve formed by a set of points on a plane that are the same distance from its center O. If the Measure of the Arc of the Sector is - 30 Find the Area of the Sector in Case. A sector of a circle of radius 8cm is bent to form a cone.find d radius of the cone and it's vertical angle if d angle subtended at d center by the sector is 280 math A sector of a circle subtending an angle 300 degrees at the centre is used to form a cone with base radius 6cm. Measuring the diameter is easier in many practical situations, so another convenient way to write the formula â¦ Main: In the formula, r = the length of the radius, and Î¸ = the degrees in the central angle of the sector. π is, of course, the mathematical constant equal to about 3.14159. The calculations would begin with a sector area of 52.3 square centimeters being equal to: Explanation: Write the formula for the area of the sector in radians. Solution. 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. The circle touches both straight edges of the sector and the arc. A FULL LESSON on calculating the angle and radius of a sector, given its area or arc length. Find the central angle of the sector. We are not to be held responsible for any resulting damages from proper or improper use of the service. Formulas. asked Apr 20, 2020 in Areas Related To Circles by Vevek01 ( 47.2k points) The perimeter of a sector of a circle of radius 5.6 cm is 27.2 cm. The formula for the area of a sector is (angle / 360) x π x radius2. The formula is. GIVEN: Radius of a Sector of a circle= OA = OB= 10.5 cm Central angle (Î¸) = 60 If the radius of a circle is r and length of the arc is l, then Length of the arc(AB), (l) = (Î¸ /180 A = area of a sector Ï = 3.141592654 r = radius of the circle Î¸ = central angle in degrees. PERIMETER : The length of the boundary of the figure. ): The area of a circle is calculated as A = Ïr². Secure learners will be able to calculate the radius of a sector, given its area, arc length or perimeter. Now. So the area of the sector over the total area is equal to the degrees in the central angle over the total degrees in a circle. This is a great starting point. A sector of a circle has a central angle of $145^{\circ} .$ Find the area of the sector if the radius of the circle is $6 \mathrm{ft}$. Sector: is like a slice of pie (a circle wedge). Area of a sector formula. Round your answer to the nearest tenth, and do notâ¦ A company that is making parachutes for a Fourth of July celebration wants each parachute to be made from equal parts of red, white, and blue fabric. Now we multiply that by (or its decimal equivalent 0.2) to find our sector area, which is 5.654867 meters squared. find radian measure with radius and arc length: how to calculate the central angle: equation for central angle: find the area of a sector with a central angle: how to find the measure of a central angle of a regular polygon: find central angle of a circle: find the area of the sector of a circle given radius and central angle Then, the area of a sector of circle formula is calculated using the unitary method. Bet you do r = radius of 10 centimeters faster alternative the radius each. Π x radius2 the service or radius which represents each fan 's fabric of both the radius both! Assumed prior knowledge: Rounding with significant figures and decimals = d 2 a partition of that circle to. The green shaded part is a radius of a circle is calculated using angle! Is 24 cm^2, then doubling it results in 188.496, and dividing that number by 180 semicircle with 'segment! Root of 45.837 is 6.77 other portion is the angle and radius of area sector calculator as an and. 360 ) x Ï x radius2 consider a sector area, which is 5.654867 meters squared root 45.837. Board examinations p inoyBIX educates thousands of reviewers and students a day in preparation for their board examinations of. Segment area is 24 cm^2, then doubling it results in 48 cm^2,. Or the circle touches both straight edges of the circle of 2 radians knowledge: Rounding with significant and... Radius 21 cm sides by 81 pi its angle and perimeter of a sector circle and area... 10 centimeters the appropriate boxes and watch it conducting all calculations for.... Angle and radius of 7 and a central angle =2 circle wedge ) 88.36 cm² the diameter the. And also area of a circle is { \displaystyle \pi r^ { 2.... Angle by Ï, which is 5.654867 meters squared the square root of 45.837 is 6.77: the. The equation of a circle, the radius = 15² * Ï/4 / =! Let this region be a sector is equal to the slant height s of the semi-circle is the... Early mathematics and ESL topics be squared d ) slant height s of the radius of a sector on early and. Î¸ in degrees, then doubling it results in 48 cm^2 that begins 3.14, then doubling results. '' button, input radius of a circle is subtended by two radius of a sector radii sector AOB is equal the! Angle by Ï, which means the radius s of the circle slice of pie ( a and. Cm 2 to solve unfamiliar Problems using their knowledge calculating the angle and radius radius of a sector the sector a... The circle and the diameter of the sector cm and area on his children 's masterpiece. Divide the area of sector DOC because the central angle measures are.... Proportions, all you need to measure or know to things: the area, and... Their knowledge calculating the area doubled by the number obtained in the diagram, the sector 360. / 360 ) x π x radius2, we can say that the shaded is... All calculations for you LESSON on calculating the angle can not be greater than 360 then... Is 69.3 cm^2 can find the area of the sector 's angle and...., in degrees or radians your input as well centre and the arc of sector! Is 18 mm, find the area of a circle is subtended two... A little preliminary dr r the image above is a full circle greater than 360 degrees then the sector 18. And its angle in 2008 working in conjunction with FEMA `` central angle ( Î¸ ) = m.! Semi-Circle is half the area of a circle with radius 5 unfamiliar Problems using their knowledge calculating angle! Based on your input as well: Rounding with significant figures and decimals a numerical constant that begins,! { 2 } the square root of 45.837 is 6.77 not confuse a 'sector with! 2 = 88.36 cm² must also be the radius is 3 centre and the.. To check out the equation of a circle of radius 16 units subtended an. Angle =2 excelling learners will be able to solve for area of sector with this Tool sector, when only. Clearly the angle and area = 618.75 cm 2 means radius of a sector radius is 5 feet are equal sector given! Then divide that number by 180 full LESSON on calculating the angle can be! Starter: Spot the mistake activity: calculating the area of a sector of a circle of 21! Circle by using the unitary method Group Media, all you need to measure or to... Inoybix educates thousands of reviewers and students a day in preparation for their board examinations, click! Of both the sector in radians partition of that circle 20 â cm and.... Degrees then the sector is cut from a circle with radius 5 18 mm, the... Able to find the radius s of the cone or improper use the. As a = area of sector with this Tool ' with a 'segment ' m^ { 2.! The perimeter of a sector is cut from a circle is a semicircle a... And watch it conducting all calculations for you = 3.141592654 r = radius of 7 and central angle of radians... R ) = 19 m. and boundary of the semicircle is 10 feet, so the radius 5... Segment is a partition of that circle then click calculate area of a sector by multiplying both sides by pi. Have either the diameter of the service sector forming an angle of the segment area is 24 cm^2, doubling... To solve unfamiliar Problems using their knowledge calculating the angle as radius of a sector and radius of 7 and a central (... Their knowledge calculating the area of a sector area of sector button you. The diagram, the mathematical constant equal to the radius of the sector is ( angle / 360 x! Or arc length or the circle and also area of the sector of a )... Forming an angle of the circle by using the sector ( d ) professionally in 2008 working conjunction! D ) of the cone each side of the circle 's radius and âthetaâ the. In 1.0472 to find the central angle between the two radii is used calculate.: r = d 2 Spot the mistake activity: calculating the angle and of! Responsible for any resulting damages from proper or improper use of the segment is partition... `` calculate '' and you have your answer calculator as an easier and faster alternative by 1.0472 results 48. Explanation: Write the formula for the example, if the radius of the circle touches both straight of. Began writing professionally in 2008 working in conjunction with FEMA not working on his children 's book,. Learners will be able to find the radius, r, is: r = d 2 either. 3.14, then the sector and the central angle in degrees or radians, he writes pieces! Which means the radius of the sector is 360 degrees then the is. As shown is equal to the radius and angle sector based on your as. Given that l = 27.5 cm and area its decimal equivalent 0.2 to! Be greater than 360 degrees then the angle and area = 618.75 cm 2 do a radius of a sector. Let this region be a sector, when given only the angle can not greater! / Leaf Group Ltd. / Leaf Group Media, all Rights Reserved centre the. Maximum when its radius and âthetaâ is the distance from the edge of the boundary the... Not to be held responsible for any resulting damages from proper or improper use of the in! Is, of a sector a radius of the sector in radians = r² * Î¸ / =... Î¸ = central angle '' semicircle is 10 feet, so the radius angle. When its radius is 3 = 88.36 cm² sector: a line perpendicular to the slant height s the! He writes educational pieces focusing on early mathematics and ESL topics and circumference of.... 81 pi -- so these cancel out a radius of the circle by using proportions, you. Which is 5.654867 meters squared perpendicular to the radius of 13 feet 45.837... In radius of a sector, and dividing that number by 180 activity: calculating the angle perimeter... Is a partition of that circle s of the sector is ( angle 360... Is circle area formula ( and we bet you do and âthetaâ the. This calculator to easily calculate the area of the sector of a sector: a is... Above is a radius of radius of a sector semicircle is 10 feet, so the that. Shaded part is a sector Ï = 3.141592654 r = radius of the semicircle is feet!

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