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
Remaining Attempts : 3
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Answers
GPT-4o mini
To estimate the area of a circle, you can use the formula:
\[
\text{Area} = \pi r^2
\]
Given that the radius \( r \) is 2.1 miles, and using \( \pi \approx 3.14 \), you can calculate the area as follows:
1. Calculate \( r^2 \):
\[
r^2 = (2.1)^2 = 4.41
\]
2. Now multiply by \( \pi \):
\[
\text{Area} \approx 3.14 \times 4.41
\]
To perform the multiplication:
\[
3.14 \times 4.41 \approx 13.8384
\]
3. Round to the hundredths place:
\[
\text{Area} \approx 13.84
\]
Thus, the estimated area of the circle is **13.84 square miles**.
\[
\text{Area} = \pi r^2
\]
Given that the radius \( r \) is 2.1 miles, and using \( \pi \approx 3.14 \), you can calculate the area as follows:
1. Calculate \( r^2 \):
\[
r^2 = (2.1)^2 = 4.41
\]
2. Now multiply by \( \pi \):
\[
\text{Area} \approx 3.14 \times 4.41
\]
To perform the multiplication:
\[
3.14 \times 4.41 \approx 13.8384
\]
3. Round to the hundredths place:
\[
\text{Area} \approx 13.84
\]
Thus, the estimated area of the circle is **13.84 square miles**.