SOLUTION: Find the area of a regular hexagon with the given measurement. 6-inch radius A = sq. in.

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Question 1013686: Find the area of a regular hexagon with the given measurement.
6-inch radius
A = sq. in.

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
A regular hexagon is actually composed of six equilateral triangles. The area of an equilateral triangle is
A+=+s%5E2%2Asqrt%283%29%2F4
Thus the area of the hexagon is 6 times that, so we have
A%5Bhex%5D+=+6%2As%5E2%2Asqrt%283%29%2F4+=+6%2A6%5E2%2Asqrt%283%29%2F4+=+54%2Asqrt%283%29 =
93.5 sq. in.