Question 70669
Problem:  A regular hexagon is inscribed in a circle with a two-inch radius.  What is the side length of a square with the same area as the hexagon?   Express your  answer as a decimal to the nearest hundredth.

What I have done:  made many drawings, Found the area of the trapezoid and then x 2 to get the area of the hexagon.  I know that a regular hexagon has all equal sides.  

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Did you get 3sqrt3 as the area of the hexagon?
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If you did your next step is:
s^2=3sqrt3, where s^2 is the area of a square with side = s.
Then s^2 = 3^(3/2)

Then s = 3^(3/4) (final answer)

cheers,
Stan H.