Question

the radius of a circle is 4 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 is \( A=\pi r^{2} \), where \( r \) is the radius of the circle.

Step2: Substitute the given radius into the formula

Given that the radius \( r = 4 \) miles. Substitute \( r = 4 \) into the formula: \( A=\pi\times(4)^{2} \).

Step3: Calculate the value

First, calculate \( 4^{2}=16 \). Then, \( A = \pi\times16\approx3.14159\times16 \).
\( 3.14159\times16 = 50.26544 \).

Step4: Round to the nearest hundredth

Rounding \( 50.26544 \) to the nearest hundredth, we look at the thousandth place digit which is 5. Since \( 5\geq5 \), we round up the hundredth place digit. So \( 50.26544\approx50.27 \).

Answer:

\( 50.27 \)