SOLUTION: If the area of a sphere is pi centimeters squared, what is the diameter?

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Question 453212: If the area of a sphere is pi centimeters squared, what is the diameter?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The surface area of a sphere of radius 'r' is given by:
surface_+area+=+4%2Api%2Ar%5E2
given:
surface_+area+=pi%2Acm%5E2 ...so, we have

+4%2Api%2Ar%5E2=pi%2Acm%5E2........reduce
+4%2Across%28pi%29%2Ar%5E2=cross%28pi%29%2Acm%5E2

+4r%5E2=1cm%5E2

+r%5E2=1cm%5E2%2F4

+r=sqrt%281cm%5E2%2F4%29

+r=%281%2F2%29cm%29