Question

the radius of a circle is 8 miles. what is the circles area? round your answer to the nearest hundredth. square miles

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area \( A \) of a circle with radius \( r \) is \( A=\pi r^{2} \).

Step2: Substitute the given radius into the formula

Given that the radius \( r = 8 \) miles. Substitute \( r = 8 \) into the formula: \( A=\pi\times(8)^{2} \).

Step3: Calculate the value

First, calculate \( 8^{2}=64 \). Then, \( A = \pi\times64\approx3.14159\times64 \).
\( 3.14159\times64 = 201.06176 \).

Step4: Round to the nearest hundredth

Rounding \( 201.06176 \) to the nearest hundredth gives \( 201.06 \).

Answer:

201.06