Question

the radius of a circle is 9 meters. what is the area? give the exact answer in simplest form. square meters

Explanation:

Step1: Recall the area formula for 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 \( r = 9 \) meters. Substituting \( r = 9 \) into the formula, we get \( A=\pi\times(9)^2 \).

Step3: Calculate \( 9^2 \)

Calculating \( 9^2 \), we have \( 9\times9 = 81 \). So the area \( A = 81\pi \) square meters.

Answer:

\( 81\pi \) square meters