Question

the radius of a circle is 3 miles. what is the area? give the exact answer in simplest form. square miles

Explanation:

Step1: Recall the area formula of a circle

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \), where \( r \) is the radius of the circle.

Step2: Substitute the given radius into the formula

We are given that the radius \( r = 3 \) miles. Substitute \( r = 3 \) into the formula \( A=\pi r^{2} \), we get \( A=\pi\times(3)^{2} \).

Step3: Simplify the expression

Calculate \( (3)^{2}=9 \), so the area \( A = 9\pi \) square miles.

Answer:

\( 9\pi \) square miles