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Find the area of the blue shaded region. Round your answer to the nearest hundredth

Find the area of the blue shaded region. Round your answer to the nearest hundredth-example-1

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2 votes

Answer:

173.01

Explanation:

To area of a sector or portion of a circle is found using:


A = (N)/(360) \pi r^2

Substitute N = 50 and A = 27.93.

It becomes
27.93 = (50)/(360) \pi r^2\\27.93 = 0.139 \pi r^2\\200.94 = \pi r^2

The area of the entire circle is 200.94. The area of the blue part of the circle can be found by subtracting the red section from the entire circle.

200.94 - 27.93 = 173.01

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User Nkatsar
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