Question

A rotating lawn sprinkler sprays water in a circular area of grass as shown in the picture. The diameter of the circular area of grass is 6 feet. How many square feet of water will the sprinkler spray?

Answer 1

`9\pi \: \mathrm{ft^2\:or}\: 28.27 \mathrm{\: ft^2}`

Explanation:

The area of a circle is given by
`r^2\pi` where
`r` is the radius of the circle. The diameter is given as
`6` feet, so the radius of this circle is
`(6)/(2)=3` feet.

Plugging in our values, we get:

`3^2\pi=9\pi\approx28.27`.