Question 1063165
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
{{{r = sqrt(18)}}}
{{{d = 2sqrt(18) = sqrt(72)}}}
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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