Question
Estimate Values of Expressions with Pi Practice
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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
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Answers
GPT-4o mini
To find the area \(A\) of a circle, you can use the formula:
\[
A = \pi r^2
\]
Where:
- \(A\) is the area,
- \(\pi\) is approximately 3.14,
- \(r\) is the radius of the circle.
Given that the radius \(r\) is 2.1 miles, we can calculate the area as follows:
1. Square the radius:
\[
r^2 = (2.1)^2 = 4.41
\]
2. Multiply by \(\pi\):
\[
A = 3.14 \times 4.41
\]
Now, let's perform the multiplication:
\[
3.14 \times 4.41 \approx 13.8384
\]
Finally, we round this to the hundredths place:
\[
A \approx 13.84 \text{ square miles}
\]
So, the estimated area of the circle is **13.84 square miles**.
\[
A = \pi r^2
\]
Where:
- \(A\) is the area,
- \(\pi\) is approximately 3.14,
- \(r\) is the radius of the circle.
Given that the radius \(r\) is 2.1 miles, we can calculate the area as follows:
1. Square the radius:
\[
r^2 = (2.1)^2 = 4.41
\]
2. Multiply by \(\pi\):
\[
A = 3.14 \times 4.41
\]
Now, let's perform the multiplication:
\[
3.14 \times 4.41 \approx 13.8384
\]
Finally, we round this to the hundredths place:
\[
A \approx 13.84 \text{ square miles}
\]
So, the estimated area of the circle is **13.84 square miles**.