Posted by **celina** on Tuesday, May 8, 2012 at 7:05pm.

a square has an area of 100 cm^2. how much bigger is the square's circumscribed circle than the inscribed circle?

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**Reiny**, Tuesday, May 8, 2012 at 7:20pm
The circumscribed circle would have a diameter equal to the diagonal of the square

each side of the square is 10 cm

using Pythagoras, the diagonal has a length of 10√2

so the radius is 5√2

area of circle = π(5√2)^2 = 50π

area of square = 100

difference = (50π - 100) cm^2 , (appr 57.1)

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