Question

the diameter of a circle is 24 centimeters. what is the circles area? round your answer to the nearest hundredth. square centimeters submit

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 24 \) cm, so \( r=\frac{d}{2}=\frac{24}{2} = 12 \) cm.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 12 \) into the formula: \( A=\pi\times12^{2}=\pi\times144\approx3.14159\times144 = 452.389344 \). Rounding to the nearest hundredth gives \( 452.39 \).

Answer:

452.39