Question

what is the area of this circle in square centimeters?
image of a circle with a radius labeled 8 cm
options: 8π, 16π, 64π, 80π
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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 \( 8 \) centimeters.

Step3: Substitute the radius into the formula

Substitute \( r = 8 \) into the formula \( A = \pi r^2 \). We get \( A=\pi\times(8)^2 \).

Step4: Calculate \( 8^2 \)

\( 8^2 = 64 \), so \( A = 64\pi \).

Answer:

\( 64\pi \) square centimeters (corresponding to the option \( 64\pi \))