Question

what is the area of this circle in square centimeters? 3 cm 3π 6π 9π 30π

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: Identify the radius of the circle

From the diagram, the radius \( r \) of the circle is given as \( 3 \) cm.

Step3: Substitute the radius into the formula

Substitute \( r = 3 \) into the formula \( A = \pi r^2 \). We get \( A = \pi (3)^2 \).

Step4: Calculate \( (3)^2 \)

\( 3^2 = 9 \), so the area \( A = 9\pi \) square centimeters.

Answer:

\( 9\pi \) square centimeters (corresponding to the option with \( 9\pi \))