SOLUTION: Find the area of a circular region if the circumference is 16 pie centimeters. Express the answer in terms of pie. Not sure how to do the symbol for pie. Thanks

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Question 75624This question is from textbook Elementary algebra
: Find the area of a circular region if the circumference is 16 pie centimeters. Express the answer in terms of pie.
Not sure how to do the symbol for pie.
Thanks This question is from textbook Elementary algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since we know the circumference, we can find the radius using this formula:
C=2%2Api%2Ar
16%2Api=2%2Api%2Ar Plug in C=16%2Api to find r
%2816%2Api%29%2F%282%2Api%29=cross%28%282%2Api%29%2F%282%2Api%29%29%2Ar Divide both sides by 2%2Api
r=%2816%2Across%28pi%29%29%2F%282%2Across%28pi%29%29 The pi terms cancel and 16/2=8
r=8
Now use this formula to find the area:
A=pi%2Ar%5E2
A=pi%2A8%5E2
A=64%2Api There's the exact answer