Question

the radius of a circle is 10 feet. what is the area? give the exact answer in simplest form. square feet

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given radius into the formula

We are given that the radius \( r = 10 \) feet. Substituting \( r = 10 \) into the formula, we get \( A=\pi\times(10)^2 \).

Step3: Simplify the expression

Calculating \( (10)^2 \), we have \( 10^2 = 100 \). So the area \( A = 100\pi \) square feet.

Answer:

\( 100\pi \) square feet