Question

the radius of a circle is 2.4 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

We are given that the radius \( r = 2.4 \) miles. Substituting this value into the formula, we get \( A=\pi\times(2.4)^2 \).
First, calculate \( (2.4)^2 = 2.4\times2.4 = 5.76 \). Then, multiply by \( \pi \): \( A=\pi\times5.76\approx3.14159\times5.76 \).

Step3: Perform the multiplication and round to the nearest hundredth

Calculating \( 3.14159\times5.76 \approx 18.0955776 \). Rounding this to the nearest hundredth (two decimal places), we look at the third decimal place, which is 5. When the digit to the right of the place we are rounding to (the hundredth place) is 5 or greater, we round up the hundredth place digit. So, \( 18.0955776\approx18.10 \).

Answer:

\( 18.10 \) square miles