SOLUTION: Find the measure of the central angle of a sector if its area is 5 pi and the radius is 6.
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Question 1115195: Find the measure of the central angle of a sector if its area is 5 pi and the radius is 6.
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!
If the radius is 6, then the area of the whole circle is 36pi.
The area of the sector is 5pi; the fraction of the circle is (5pi)/(36pi) = 5/36.
A complete circle is 2pi radians; 5/36 of a circle is (5/36)*(2pi) = (5pi)/18 radians.
Answer: the central angle is 5pi/18 radians.
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