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=225π ft.2


A=56.25π ft.2


A=7.5π ft.2


A=112.5π ft.2

Answer 1

The sprinkler covers a semicircle of radius 15 ft. Area = (1/2)πr^2 = (1/2)π(15^2) = (1/2)π(225) = 112.5π ft^2.

Answer: A = 112.5π ft^2.