SOLUTION: What is the area of a 5000 - sided polygon with an apothem of ten

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Question 455503: What is the area of a 5000 - sided polygon with an apothem of ten
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Area+=+a%5E2%2An%2Atan%28180%2Fn%29 a = apothem, n = # of sides
Area = 100*5000*tan(180/5000)
Area =~ 314.1593067 sq units
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Notice that it's close to the area of a circle or radius 10
A circle's area = 314.1592654...