SOLUTION: A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 135 degrees. What area of the lawn recieves water?

Question 505525: A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 135 degrees. What area of the lawn recieves water?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 135 degrees. What area of the lawn recieves water?
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Assume the lawn is a circle with radius = 30 ft.
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Area of the whole circle = (pi)*30^2 sq.ft.
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Proportion:
x/900(pi) = 135/360
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x = [900pi][135/360] = 337.5(pi) sq ft (area that receives water)
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Cheers,
Stan H.

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