Question

the diameter of a circle is 16.6 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 \( d = 16.6 \) inches, so \( r=\frac{d}{2}=\frac{16.6}{2}=8.3 \) inches.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A = \pi r^{2} \). Substitute \( r = 8.3 \) into the formula: \( A=\pi\times(8.3)^{2}=\pi\times68.89 \). Using \( \pi\approx3.14159 \), then \( A\approx3.14159\times68.89\approx216.42 \).

Answer:

\( 216.42 \)