The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each
shaded part. Give your answer as a completely simplified exact value in terms of π (no approximations).
1 answer:
The perimeter = 4 * length of a semicircle of radius 5 == 4* pi * 5 = 20 pi cm
The area of one of the clear parts = 1/2 area of square - area semicircle
= 1/2 * 10^2 - 1/2 pi *5^2 = 50 - 12.5pi
So area of shaded parts = area of square - 4 (50 - 12.5pi)
= 100 - 200 + 100pi = (100pi - 100) cm^2
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Step-by-step explanation:
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Step-by-step explanation:
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