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 .(1 point

1 answer

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 \( r \) is 2.1 miles and using \( \pi \approx 3.14 \), the calculation would be:

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

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

\[ (2.1)^2 = 4.41 \]

Now, multiply by \( \pi \):

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

Calculating \( 3.14 \times 4.41 \):

\[ 3.14 \times 4.41 \approx 13.8384 \]

Rounding to the hundredths place, the area of the circle is:

\[ \text{Area} \approx 13.84 \text{ square miles} \]

Thus, the estimated area of the circle is 13.84 square miles.