Question

the diameter of a circle is 69.6 miles. what is the circles area?
round your answer to the nearest hundredth.
square miles

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 69.6 \) miles, so \( r=\frac{d}{2}=\frac{69.6}{2} = 34.8 \) miles.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 34.8 \) into the formula: \( A=\pi\times(34.8)^{2}\). First, calculate \( 34.8^{2}=34.8\times34.8 = 1211.04 \). Then, \( A=\pi\times1211.04\approx3.14159\times1211.04\approx3804.58 \) (rounded to the nearest hundredth).

Answer:

\( 3804.58 \)