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A sector of a circle has a central angle of 80 degrees. If the area of the sector is 32pi, what is the radius of the circle?

 Aug 18, 2017
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80 / 360 = 2/9

Area of circle = Pi x Radius^2

 

32Pi = 2/9 * Pi * r^2
Solve for r:
32 π = (2 π r^2)/9

32 π = (2 π r^2)/9 is equivalent to (2 π r^2)/9 = 32 π:
(2 π r^2)/9 = 32 π

Divide both sides by (2 π)/9:
r^2 = 144

Take the square root of both sides:
Answer: | r = 12  units

 Aug 18, 2017
edited by Guest  Aug 18, 2017

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