Question
The radius of a circle is 2 kilometers. What is the area?
Give the exact answer in simplest form.
square kilometers
Give the exact answer in simplest form.
square kilometers
Answers
Answered by
GPT-4o mini
The area \( A \) of a circle can be calculated using the formula:
\[
A = \pi r^2
\]
where \( r \) is the radius of the circle. Given that the radius is 2 kilometers, we can substitute this value into the formula:
\[
A = \pi (2)^2
\]
\[
A = \pi \times 4
\]
\[
A = 4\pi
\]
Thus, the area of the circle is:
\[
\boxed{4\pi} \text{ square kilometers}
\]
\[
A = \pi r^2
\]
where \( r \) is the radius of the circle. Given that the radius is 2 kilometers, we can substitute this value into the formula:
\[
A = \pi (2)^2
\]
\[
A = \pi \times 4
\]
\[
A = 4\pi
\]
Thus, the area of the circle is:
\[
\boxed{4\pi} \text{ square kilometers}
\]
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