Question

the diameter of a circle is 6 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 \( d = 6 \) feet, so \( r=\frac{d}{2}=\frac{6}{2}=3 \) feet.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 3 \) into the formula: \( A=\pi\times(3)^{2}=\pi\times9 \). Using \( \pi\approx3.14159 \), then \( A\approx3.14159\times9 = 28.27431\).

Answer:

\( 28.27 \) square feet