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

50 pts!!! Find the area of the shaded regions. Give your answer as a completely simplified-example-1
User Peron
by
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1 Answer

13 votes

Answer:

  • 40π

Explanation:

Area of circle:

  • A = πr²

Area of α degree sector:

  • S = πr²*α/360

The shaded area is:

  • S = π*10²×(72*2)/360 = 100π×144/360 = 40π
User Bobs Burgers
by
7.6k points

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