SOLUTION: Find r when A=10m^2 and theta= 2 radians

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Question 544932: Find r when A=10m^2 and theta= 2 radians
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I understand that in this problem you are trying to find the radius of a pie, knowing that a 2-radian slice has an area of 10 square meters.
That is quite a large pizza! Or is it apple pie?
A whole circle of radius r has an area equal to
A=pi%2Ar%5E2
and, taken as an angle, measures, in radians, 2pi
So the area of a 2-radian slice is

So if r%5E2=10m%5E2, then, in meters, r=sqrt%2810%29,
or approximately 3.16 meters.