Question

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

Answer 1

40 + 8pi

Explanation:

1/2 circle = 1/2 pi r-squared = 1/2x4x4x pi = 8pi

triangle = 1/2bh = 1/2x8x10 = 40

total area = 40 + 8pi