Question

the radius of a circle is 4 centimeters. what is the area? give the exact answer in simplest form. square centimeters

Explanation:

Step1: Recall the formula for the area 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 \( r = 4 \) cm. Substituting \( r = 4 \) into the formula, we get \( A=\pi\times(4)^2 \).

Step3: Simplify the expression

Calculating \( (4)^2 \), we have \( 4^2 = 16 \). So the area \( A = 16\pi \) square centimeters.

Answer:

\( 16\pi \) square centimeters