Question

the diameter of a circle is 18 inches. what is the circles area? round your answer to the nearest hundredth. square inches

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 18 \) inches, so \( r=\frac{d}{2}=\frac{18}{2}=9 \) inches.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 9 \) into the formula: \( A=\pi\times9^{2}=\pi\times81 \). Using \( \pi\approx3.14159 \), then \( A\approx3.14159\times81 = 254.46879 \).

Answer:

\( 254.47 \)