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?

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?

Answer 1

The sprinkler sprays water in a circular pattern with a radius of 15 feet. The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle.

Therefore, the area that the sprinkler can spray is:
A = π(15)^2
A = π(225)
A = 225π

So, the sprinkler can spray an area of 225π square feet in Amut's backyard.