SOLUTION: If the circumference of a circle is 8π, what is the area of the circle?

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Question 882291: If the circumference of a circle is 8π, what is the area of the circle?
Answer by jim_thompson5910(35256) About Me  (Show Source):
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First use the circumference formula C+=+2%2Api%2Ar to find the radius.


C+=+2%2Api%2Ar

8pi+=+2%2Api%2Ar Plug in the given circumference C+=+8pi

%288pi%29%2F%28red%282%29%29+=+%282%2Api%2Ar%29%2F%28red%282%29%29 Divide both sides by 2.



4pi+=+pi%2Ar

%284pi%29%2F%28red%28pi%29%29+=+%28pi%2Ar%29%2F%28red%28pi%29%29 Divide both sides by pi.



4+=+r

r+=+4

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The radius is r+=+4. Use this to find the area

A+=+pi%2Ar%5E2

A+=+pi%2A4%5E2

A+=+16pi Exact Area (in terms of pi)