Question

what is the area of this circle in square centimeters? 8 cm 8π 16π 64π 80π

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 \( 8 \) cm.

Step3: Substitute the radius into the formula

Substitute \( r = 8 \) into the formula \( A = \pi r^2 \). So we have \( A = \pi \times (8)^2 \).

Step4: Calculate \( 8^2 \)

\( 8^2 = 64 \), so the area \( A = 64\pi \) square centimeters.

Answer:

\( 64\pi \) (corresponding to the option with \( 64\pi \))