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# help

0
210
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+1195

What is the area, in square units, of a regular hexagon inscribed in a circle whose area is $$324\pi$$ square units? Express your answer in simplest radical form.

Apr 10, 2019

#1
+106514
+2

Not too difficult.....the radius of the circle, r   = the side of the hexagon, s...so

324 pi  = pi* r^2

324  = r^2

18  = r

The hexagon =  six equilateral triangles  ....its area  =

6 * √3 /4  * s^2   =

(3/2)√3 * 324  =

486√3    units^2

Apr 10, 2019
#2
+52
+1

That looks great to me! In general, the formula for a hexagon is $$\frac{3\sqrt{3}}{2}s^2$$

neworleans06  Apr 10, 2019