Question

the diameter of a circle is 96 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 \( d = 96\) ft, so \( r=\frac{d}{2}=\frac{96}{2}=48\) ft.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2}\). Substitute \( r = 48\) into the formula: \( A=\pi\times(48)^{2}=\pi\times2304\). Using \( \pi\approx3.14159\), we get \( A\approx3.14159\times2304 = 7238.2296\).

Answer:

\(7238.23\) square feet