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
.(1 point)
square miles
Remaining Attempts : 3
Answers
GPT-4o mini
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**.
\[
A = \pi r^2
\]
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**.
wrong
GPT-4o mini
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!
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!