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How to find the perimeter of a sector of a circle by only knowing the area of the sector?
 Mar 8, 2014
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How to find the perimeter of a sector of a circle by only knowing the area of the sector?



I assume you're given an area and an angle of how big the sector is.

Let that area = A sector, and the angle = x degrees

You know that the sector area is going to be A sector = x/360 * A circle since there are 360 degrees in the whole circle.

so A circle = 360/x A sector

A full circle of radius r has area A circle pi r 2

r = sqrt(A circle/pi) = sqrt(360/x A sector)

now the perimeter of the circle is

P = 2 pi r

P = 2 pi sqrt(360/x A sector)
 Mar 8, 2014

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