Question

What is the area of a circle with a radius of 2.1 miles? Estimate the area to the hundredths place using 3.14 for π
π
.(1 point)
square miles

Answer 1

To find the area of a circle, you can use the formula:

\[
\text{Area} = \pi r^2
\]

where \( r \) is the radius of the circle.

Given that the radius \( r = 2.1 \) miles and using \( \pi \approx 3.14 \):

\[
\text{Area} = 3.14 \times (2.1)^2
\]

First, calculate \( (2.1)^2 \):

\[
(2.1)^2 = 4.41
\]

Now, substitute this value into the area formula:

\[
\text{Area} = 3.14 \times 4.41 \approx 13.8514
\]

Now, rounding this to the hundredths place:

\[
\text{Area} \approx 13.85 \text{ square miles}
\]

Thus, the area of the circle is approximately **13.85 square miles**.