Question

There is a sprinkler in Amut’s backyard that can shoot water a distance of 15 feet from the sprinkler head. It rotates on the center point at an angle of 180° before returning to its starting position. What area of the backyard, in feet, can the sprinkler spray?(1 point)

A=7.5π ft.2

A=56.25π ft.2

A=112.5π ft.2

A=225π ft.2
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Answer 1

Area of a sector = (θ/360)·πr^2. Here θ = 180°, r = 15, so area = (180/360)·π·15^2 = (1/2)·π·225 = 112.5π ft^2.

Answer: A = 112.5π ft^2.