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
.(1 point)
square miles
Remaining Attempts : 3

Answer 1

wrong

Answer 2

To find the area \( A \) of a circle, you can use the formula:

\[
A = \pi r^2
\]

where \( r \) is the radius. Given that the radius \( r = 2.1 \) miles and using \( \pi \approx 3.14 \), we can calculate the area as follows:

\[
A = 3.14 \times (2.1)^2
\]

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

\[
(2.1)^2 = 4.41
\]

Now, substitute this value back into the area formula:

\[
A = 3.14 \times 4.41
\]

Now perform the multiplication:

\[
A \approx 3.14 \times 4.41 = 13.8384
\]

Rounding to the hundredths place, the area is approximately:

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

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

Answer 3

Let’s recalculate the area of the circle step-by-step.

Given:
- Radius \( r = 2.1 \) miles
- \( \pi \approx 3.14 \)

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

\[
A = \pi r^2
\]

1. First, calculate \( r^2 \):

\[
r^2 = (2.1)^2 = 4.41
\]

2. Now plug that back into the area formula:

\[
A = 3.14 \times 4.41
\]

3. Performing the multiplication:

\[
3.14 \times 4.41 = 13.8384
\]

4. Rounding this to the hundredths place gives us:

\[
A \approx 13.84
\]

So the area of the circle is **13.84 square miles**.

If there was a mistake earlier in my response or if you used a different method, please let me know, and I can assist further!