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

Find the area of the shaded regions. Give your answer as a completely simplified exact-example-1
User Cronos
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Answer:

40π in^2

Explanation:

360°/72°=5

so, each of the two shaded regions are 1/5 of the circle.

the formula for finding the area of a circle is πr^2, so:

area for one of the shaded regions:

1/5πr^2

1/5π(10)^2

1/5π100

20π in^2

this means that the area for one of the shaded regions is 20π. however, since there are two of them:

2(20π)=40π

so, the area of the shaded regions is 40πin^2

User Mrbrdo
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