Question

the radius of a circle is 6 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 \( r = 6 \) cm. Substituting \( r = 6 \) into the formula, we get \( A = \pi \times (6)^2 \).

Step3: Simplify the expression.

Calculating \( (6)^2 \), we have \( 6^2 = 36 \). So the area \( A = 36\pi \) square centimeters.

Answer:

\( 36\pi \) square centimeters