# functions

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

• functions -

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

area of circle = π(5√2)^2 = 50π
area of square = 100

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

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