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