SOLUTION: Given the circumference of a circle to be 4 Pie inches, find the area.

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Question 206139: Given the circumference of a circle to be 4 Pie inches, find the area.
Answer by Marth(57) About Me  (Show Source):
You can put this solution on YOUR website!
For any circle, C=2pir and A=pir%5E2
Solve for r to eliminate it:
C=2pir
C%2F%282pi%29=r


A=pir%5E2
sqrt%28A%2Fpi%29=r


So C%2F%282pi%29=sqrt%28A%2Fpi%29
%28C%2F%282pi%29%29%5E2%2Api=A
Given the circumference is 4pi, we can now find area.
%284pi%2F%282pi%29%29%5E2%2Api=A
A+=+2%5E2%2Api
A=4pi