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A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through 90 degrees and project water out 70 feet. What is the area of the yard watered by the sprinkler? (Round your answer to the nearest whole number.)

 Feb 22, 2020
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The area covered is a sector of a circle with angle 90 degrees and radius 70.

 

\(A = \frac{90}{360} \pi (70)^2 = \frac{4900}{4} \pi \approx \boxed{3848}\) square feet

 Jan 30, 2022

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