Question

PLZZZ help!!!

Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.

Answer 1

`A_s = 36\pi - 72`

Explanation:

`A_(shaded) = (A_(circle))/(4) - A_(triangle)\\\\A_c = \pi r^2\\A_c = \pi(12)^2\\A_c = 144\pi\\\\A_t = (b * h)/(2) \\\\A_t = (12 * 12)/(2) \\\\A_t = 72\\\\\\A_s = (144\pi )/(4) - 72\\A_s = 36\pi - 72`