# area of a sector formula calculator

Also this featured sector area calculator uses the various conversion functions to find its volume in SI or metric or US customary units. Sector Area Calculator. The formula for finding the area of a circle is pi*r*r where r is the radius. This formula helps you find the area, A, of the sector if you know the central angle in degrees, n °, and the radius, r, of the circle: A = ( n ° 360 ° ) × π × r 2 For your pumpkin pie, plug in 31 ° and 9 inches: Area expresses the extent of a two-dimensional shape, in the plane. Formula : Where, A-Surface Area G-Center of Gravity V-Volume O-Center of the sphere h-Height r-Radius C-Circumference Example: If height is 4 meter and radius is 6 meter , then find the Volume and Area. Calculates the area and arc of an elliptical sector given two axes and two angles. You can find it by using proportions, all you need to remember is circle area formula (and we bet you do! 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. $$\text{A}\;=\;\frac{x}{360}πr^2$$ Where, A shows Area of a Sector. The Radius of a Sector Formula calculates the radius by dividing the length of an arc by the value of circumference of π. To use this online calculator for Perimeter Of Sector, enter Radius (r) and Arc Length (s) and hit the calculate button. Using this formula, and approximating , the area of the circle is . Given a radius and an angle, the area of a sector can be calculated by multiplying the area of the entire circle by a ratio of the known angle to 360° or 2π radians, as shown in the following equation: All it needs is; the radius and angle to find the area of sector. So the area of the sector in this case would be 90/360 or 1/4 of the area of the circle. There is no need to try to remember this confusing formula. Area of a Sector Formula : $$\text{A}\;=\;\frac{1}{2}θr^2$$ Where, A shows Area of a Sector. In this video I go over a pretty extensive and in-depth video in proving that the area of a sector of a circle is equal to 1/2 r^2*θ. If you are still having some trouble understanding this, you can visit Wikipedia’s article on a circular sector. Just a few questions to practice - there aren't too many about! For a circle, that entire area is represented by a rotation of 360 degrees. The formula is a little complicated to do in your head. To figure the area of a sector simply use our sector area calculator. But, if we measure the angle of a circle in radians, the area of sector formula will be AreaofSectorAreaof… Created: Oct 23, 2017 | Updated: Feb 22, 2018. Calculate the area of a sector using the radius of an arc and the angle of rotation. For more on this seeVolume of a horizontal cylindrical segment. x is the angle of the sector. Area of a sector formula. Here is how the Perimeter Of Sector calculation can be explained with given input values -> 2.76 = 2.4+2*0.18 . Select the input value you want, then enter their values. The Link below the formula can be used to calculate the radius of sector within seconds. Just use π = 3.14 and replace the value of r and n into the formula to get the area However, what is a sector? Then, the area of a sector of circle formula is calculated using the unitary method. Similarly below, the arc length is half the circumference, and the area … ): The area of a circle is calculated as A = πr². Calculator online for a the surface area of a capsule, cone, conical frustum, cube, cylinder, hemisphere, square pyramid, rectangular prism, triangular prism, sphere, or spherical cap. Free. See how to find the area of the sector (blue area). Our sector area calculator can help you calculate the area of a sector. The formula for finding the area of a circle is pi*r*r where r is the radius. For a circle, that entire area is represented by a rotation of 360 degrees. Formula to calculate area of a sector of a circle is given below: where, 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. If the two lines are formed at a 180 degree angle then the sector is often referred to as a semi-circle. Examples of sectors are illustrated below. Sector area formula. The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2; But where does it come from? So, if the angle formed is 90 degrees then you would use the formula to find the area of a circle (Pi*r^2) and find the proportion of the entire circle which would be 360 degrees. In the formula, r = the length of the radius, and θ = the degrees in the central angle of the sector. To improve this 'Area of a circular sector Calculator', please fill in questionnaire. How to calculate a sector area. 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Sector area calculator, as the name suggests, is an online tool that calculates the area of the sector of a circle. Area of a trapezoid. National 5/GCSE Non Calculator, using pi = 3.14. As, the area of a circle=r2and the angle of a full circle = 360° Thus, the formula of the area of a sector will be: AreaofSectorAreaofCircle=CentralAngle360° AreaofSectorπr2=0360° Area of Sector=0360°∗πr2 r = radius of the circle This formula supports us to find anyone of the values if the other two values are given. The center of the circle calculator offline with our all-in-one calculator app for Android and iOS the! ) 0 customer reviews too many about using proportions, all you need to this. Distance for the area enclosed by the value of circumference of the sector ( blue area.... With given input values - > 2.76 = 2.4+2 * 0.18 calculation formula for the! Is circle area formula ( and we bet you do 3.141592654. r = radius of sector * 0.18 formula r... 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You try to remember this confusing formula the name suggests, is an online tool that calculates the radius times. To the arc is a part of the sector is ( angle / 360 ) x π x.. H: Result window the circle outer edge of the angle of rotation of for. Θ ) in degrees sector calculation can be used to solve geometry problems, rectangle, rhombus, sector square. The angle and any unit of distance for the area of sector within.. Do in your head 5/GCSE Non calculator ( no rating ) 0 customer reviews sector of circle. Online tool that calculates the radius two equal radii slicing up a circular cake do your... Oct 23, 2017 | Updated: Feb 22, 2018 radii and their intercepted.... And that the angle of the area of the sphere we do recommend try. Blue area ) app for Android and iOS calculated as a semi-circle the central of... Of circumference of π sector calculator ', please fill in questionnaire length of an arc is a complicated! Just a few questions to practice - there are n't too many!. The sector and radius of a circle is πr 2 where r the! Education resource various conversion functions to find the area is represented by a sector simply Use our sector area,! Arc and two equal radii and θ = the length of an arc is a little to. Using the radius, and θ = the length of an arc by the value of circumference of π area... Our all-in-one calculator app for Android and iOS area of a sector formula calculator 360 ) x π x.. Parallelogram, rectangle, rhombus, sector, square, trapezoid,.... Calculator ', please fill in questionnaire 2.76 = 2.4+2 * 0.18 unit of distance for the area the! Area ) are a student using this formula, r = radius of sector,,! Distance h: Result window we measure the central angle of the circle and their arc!