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 :

Answer:

[tex]9\pi \: \mathrm{ft^2\:or}\: 28.27 \mathrm{\: ft^2}[/tex]

Step-by-step explanation:

The area of a circle is given by [tex]r^2\pi[/tex] where [tex]r[/tex] is the radius of the circle. The diameter is given as [tex]6[/tex] feet, so the radius of this circle is [tex]\frac{6}{2}=3[/tex] feet.

Plugging in our values, we get:

[tex]3^2\pi=9\pi\approx28.27[/tex].

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