Question

A sprinkler that sprays water in a circular area can spray up to a radius of 22 ft. What is the maximum area of lawn that can be watered by the sprinkler? Use 3.14 to approximate for π . Enter your answer, as a decimal rounded to the nearest tenth, in the box.

Answer 1

X = [900pi][135/360] = 337.5(pi) sq ft (area that receives water)

Answer 2

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)