SOLUTION: Area of circle inscribed in a square is 308 cm2. The length of the diagonal of the square is?

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Question 354138: Area of circle inscribed in a square is 308 cm2. The length of the diagonal of the square is?
Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
the side of the square =diameter of the circle or 2*radius
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area of circle = 308=pi%2Ar%5E2 therefore r=Sqrt%28308%2Fpi%29=9.8 I am using pi=3.142
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side of square =2%2Ar=19.6
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diagonal of a square (forming a 90-45-45 triangle, the diagonal is the hypothenus=sqrt%282%29%2Aside=sqrt%282%29%2A19.6=27.7