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 with radius \( r \) is \( A=\pi r^{2} \).

Step2: Substitute the given radius into the formula

We are given that the radius \( r = 4 \) miles. Substituting \( r = 4 \) into the formula, we get \( A=\pi\times(4)^{2} \).

Step3: Calculate the value

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

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 is greater than or equal to 5, we round up the hundredth place. So \( 50.26544\approx50.27 \).

Answer:

\( 50.27 \)