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)
Responses

A=56.25π ft.2
𝐴
=
56.25
𝜋

ft.
2

upper A equals 56.25 pi ft. squared

A=7.5π ft.2
𝐴
=
7.5
𝜋

ft.
2

upper A equals 7.5 pi ft. squared

A=225π ft.2
𝐴
=
225
𝜋

ft.
2

upper A equals 225 pi ft. squared

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 = 112.5π ft^2.

So the correct choice is A = 112.5π ft^2.