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=112.5π ft.2
upper A equals 112.5 pi ft. squared

A=7.5π ft.2
upper A equals 7.5 pi ft. squared

A=225π ft.2
upper A equals 225 pi ft. squared

A=56.25π ft.2

Answer 1

A = (180/360) × π × 15^2 = 1/2 × π × 225 = 112.5π ft^2

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