Find the area of the circle, given the square has an area of 144 cm^2 (leave your answer in terms of π)
A) 12π cm^2 B) 24π cm^2 C) 36π cm^2 D) 72π cm^2
E) 144π cm^2
I solved it. I believe it is C) 36π cm^2.
Area of square = 144 cm2, which means each side is √144 = 12 cm
Since the circle is inscribed in the square, the diameter is 12, so the radius is 6cm.
Area of circle = πr2 = π * 62 = 36π cm2, which is your answer :)