SOLUTION: A lawn sprinkler located at the corner of a yard is set to rotate through 90 degrees and project water out 30 feet. What area of lawn is watered by the sprinkler?
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Question 1151643: A lawn sprinkler located at the corner of a yard is set to rotate through 90 degrees and project water out 30 feet. What area of lawn is watered by the sprinkler?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
radius = 30 feet
:
area of portion of circle watered is 90/360 = 1/4
:
area watered = pi * r^2 / 4 = pi * 30^2 / 4 = 706.8583 is approximately 707 square feet
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