Question

the diameter of a circle is 5.8 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 \( d = 5.8 \) feet, so \( r=\frac{d}{2}=\frac{5.8}{2}=2.9 \) feet.

Step2: Use the area formula

The area formula of a circle is \( A=\pi r^{2} \). Substitute \( r = 2.9 \) into the formula: \( A=\pi\times(2.9)^{2}=\pi\times8.41 \).
Using \( \pi\approx3.14159 \), then \( A\approx3.14159\times8.41\approx26.42 \).

Answer:

\( 26.42 \)