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Find the area of the shaded part of the figure

Find the area of the shaded part of the figure-example-1
User AmourK
by
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1 Answer

4 votes

Answer:

25π in²

Explanation:

Since each circle has the same area, they'll have the same radius. Therefore, the radius of each circle will be 1/8th the length of the rectangle, or 1/8 * 20 = 2.5 inches.

This means that the area of each circle is A = πr² = π(2.5)² = 6.25π in², making the combined area of the 4 circles equal to 25π in².

Therefore, the shaded area is 25π in².

User Micheal Perr
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5.1k points