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Find the area of the shaded portions. Round answers to the tenths place if necessary.

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Find the area of the shaded portions. Round answers to the tenths place if necessary-example-1
User Kdog
by
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1 Answer

5 votes

Answer:

12.56 square cm

Explanation:

Radius of bigger semicircle R= 4 cm

Radius of one smaller semicircle r = 2 cm

Area of shaded portion = Area of bigger semicircle - 2 times area of one smaller semicircle.


= (1)/(2) \pi {R}^(2) - 2 * (1)/(2) \pi {r}^(2) \\ \\ = (1)/(2) \pi {R}^(2) - \pi {r}^(2) \\ \\ = \pi( (1)/(2) * {R}^(2) - {r}^(2)) \\ \\ = \pi( (1)/(2) * {4}^(2) - {2}^(2) ) \\ \\ = \pi( (1)/(2) * 16 - 4) \\ \\ = \pi(8 - 4) \\ = 3.14 * 4 \\ = 12.56 \: {cm}^(2) \\

User Umair Mubeen
by
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