Question

the diameter of a circle is 12 feet. what is the circles area? round your answer to the nearest hundredth. square feet

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 12 \) feet, so \( r=\frac{d}{2}=\frac{12}{2}=6 \) feet.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 6 \) into the formula: \( A=\pi\times(6)^{2}=\pi\times36 \). Using \( \pi\approx3.14159 \), then \( A = 3.14159\times36=113.09724 \).

Answer:

\( 113.10 \) square feet