SOLUTION: find the angle of a sector of a circle with radius=12ft and area of 40 sq. feet.

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Question 328064: find the angle of a sector of a circle with radius=12ft and area of 40 sq. feet.
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a circular sector is A=1%2F2%2Ar%5E2%2A%28theta%29
We are given A=40 and r=12. We have to solve for theta.
40=1%2F2%2A%2812%29%5E2%2A%28theta%29
40=72%2A%28theta%29
5%2F9=%28theta%29 radians
This is equal to %285%2F9%29%28180%2F%28pi%29%29=100%2F%28pi%29=31.83 degrees