SOLUTION: A regular hexagon is circumscribed about a circle. The circle has a radius of 9 feet. Find the area of the hexagon to the nearest tenth. Please and thanks in advance.

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Question 1064040: A regular hexagon is circumscribed about a circle. The circle has a radius of 9 feet. Find the area of the hexagon to the nearest tenth. Please and thanks in advance.
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!

A 30-60-90 right triangle with a long leg of 1 has hypotenuse of and a short leg of , so a similar triangle with dimensions 9 times as long would have a long leg of 9, a hypotenuse of , and a short leg of . Calculate the area of the larger triangle and then consider that the hexagon is made up of 12 such triangles.

Note: Since the answer will come out as an even integer but you are asked for the answer to the nearest tenth, be sure to include .0 on the end of your answer. For example, if your calculation comes out to be 100 (it won't), then your answer would be 100.0

John

My calculator said it, I believe it, that settles it

Answer by ikleyn(52782)   (Show Source):
You can put this solution on YOUR website!
.
See the lesson
    - Area of a regular n-sided polygon via the radius of the circumscribed circle
in this site.