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

Answer:

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

Step-by-step 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 $\frac{6}{2}=3$ feet.

Plugging in our values, we get:

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