Question

What is the area of a circle with a radius of 2.1 miles?

Answer 1

The area \( A \) of a circle can be calculated using the formula:

\[
A = \pi r^2
\]

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

Given that the radius \( r = 2.1 \) miles, we can substitute this value into the formula:

\[
A = \pi (2.1)^2
\]

Calculating \( (2.1)^2 \):

\[
(2.1)^2 = 4.41
\]

Now substitute this back into the area formula:

\[
A = \pi \times 4.41
\]

Using \( \pi \approx 3.14159 \):

\[
A \approx 3.14159 \times 4.41 \approx 13.857
\]

Thus, the area of the circle is approximately:

\[
A \approx 13.86 \text{ square miles}
\]

So, the area of the circle with a radius of 2.1 miles is approximately **13.86 square miles**.