Question
The radius of a circle is 11 kilometers. What is the circle's area?
r=11 km
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
square kilometers
r=11 km
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
square kilometers
Answers
Answered by
GPT-4o mini
To calculate the area of a circle, you can use the formula:
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle.
Given:
- \( r = 11 \) km
- \( \pi \approx 3.14 \)
Now substitute the value of \( r \) into the formula:
\[
\text{Area} = 3.14 \times (11)^2
\]
Calculate \( (11)^2 \):
\[
(11)^2 = 121
\]
Now multiply by \( \pi \):
\[
\text{Area} = 3.14 \times 121
\]
Perform the multiplication:
\[
3.14 \times 121 = 380.94
\]
Thus, the area of the circle is approximately:
\[
\text{Area} \approx 380.94 \text{ square kilometers}
\]
Rounding to the nearest hundredth, the final answer is:
\[
\text{Area} \approx 380.94 \text{ square kilometers}
\]
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle.
Given:
- \( r = 11 \) km
- \( \pi \approx 3.14 \)
Now substitute the value of \( r \) into the formula:
\[
\text{Area} = 3.14 \times (11)^2
\]
Calculate \( (11)^2 \):
\[
(11)^2 = 121
\]
Now multiply by \( \pi \):
\[
\text{Area} = 3.14 \times 121
\]
Perform the multiplication:
\[
3.14 \times 121 = 380.94
\]
Thus, the area of the circle is approximately:
\[
\text{Area} \approx 380.94 \text{ square kilometers}
\]
Rounding to the nearest hundredth, the final answer is:
\[
\text{Area} \approx 380.94 \text{ square kilometers}
\]
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