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 \( r \) is \( 2.1 \) miles and using \( \pi \approx 3.14 \), we can substitute these values into the formula:
\[ A = 3.14 \times (2.1)^2 \]
First, calculate \( (2.1)^2 \):
\[ (2.1)^2 = 4.41 \]
Now substitute that back into the area formula:
\[ A = 3.14 \times 4.41 \]
Next, perform the multiplication:
\[ 3.14 \times 4.41 = 13.8384 \]
Finally, rounding to the hundredths place, we get:
\[ A \approx 13.84 \]
Thus, the area of the circle is approximately 13.84 square miles.