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
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.(1 point)

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. In this case, the radius \( r \) is 2.1 miles.

Using \( \pi \approx 3.14 \):

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

Calculating \( (2.1)^2 \):

\[
(2.1)^2 = 4.41
\]

Now substituting back into the area formula:

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

Calculating \( 3.14 \times 4.41 \):

\[
3.14 \times 4.41 = 13.8514
\]

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**.