SOLUTION: *�"A square is inscribed in a circle of area 18pi.Find the side of the square.(with explanation)�"*

SOLUTION: �"A square is inscribed in a circle of area 18pi.Find the side of the square.(with explanation)�"

Question 1063165: *�"A square is inscribed in a circle of area 18pi.Find the side of the square.(with explanation)�"*
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The diagonal of the square is equal to the diameter of the circle.
So then the side of the square forms a right triangle,

You also know,

So,

Substituting,

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A square is inscribed in a circle of area 18pi.Find the side of the square.
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Area = pi*r^2 = 18pi
r^2 = 18

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The diagonal of the square, d, is the diameter.
side length = s
d^2 = s^2 + s^2
72 = 2s^2
s^2 = 36
s = 6

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