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# how do you find the area of a sector of a circle?

as detailed as possible please

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- ironduke8159Lv 71 decade agoFavorite Answer
A sector is formed by two radii of a circle and the arc the two radii subtend. The arc of the circle is equal in degrees or radians to the central angle formed by the two radii.

So if the central angle is x and the radii are each r,the are of sector is simply area of entire circle times x/360, if angle is in degrees, or times x/(2pi) if x is in radians.

So area of sector = pir^2(x/360) if x is in degrees or pir^2(x/2pi) if x is in radians.

- 1 decade ago
This website has the formula. Hope it helps.

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