SOLUTION: A regular hexagon has a perimeter of 130m. Find its area. Leave your answer in simplest radical form.

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Question 306090: A regular hexagon has a perimeter of 130m. Find its area. Leave your answer in simplest radical form.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A regular hexagon has a perimeter of 130m. Find its area. Leave your answer in simplest radical form.
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Each side is 130/6 = 65/3 meters
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For all regular polygons with n sides of length s:
Area+=+ns%5E2%2Acot%28180%2Fn%29%2F4
= 6%2A%2865%2F3%29%5E2%2Acot%2830%29%2F4
= 6%2A4225%2Asqrt%283%29%2F36
= 4225sqrt%283%29%2F6 sq meters