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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations)

Find the area of the shaded regions. Give your answer as a completely simplified exact-example-1
User Haze
by
7.4k points

1 Answer

8 votes

Answer:

52
\pi

Explanation:

The total shaded are will be the area of big circle - not shaded circle + little shaded circle.

The are of big shaded circle:
\pi
r^(2) So, A=
\pi(8^2)= 64
\pi

The are of not shaded circle:
\pi r^(2) So, A=
\pi(4^2)= 16
\pi

The are of little shaded cirlce:
\pi r^(2) So, A=
\pi(2^2)= 4
\pi

64
\pi - 16
\pi + 4
\pi= 52
\pi

User DamianFox
by
8.5k points

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