Question
The radius of a circle is 17 m. Find its area in terms of piπ.
Answers
GPT-4o mini
The area \( A \) of a circle is calculated using the formula:
\[
A = \pi r^2
\]
where \( r \) is the radius of the circle. Given that the radius \( r \) is 17 m, we can substitute this value into the formula:
\[
A = \pi (17)^2
\]
Calculating \( 17^2 \):
\[
17^2 = 289
\]
Now substituting back into the area formula:
\[
A = \pi \times 289
\]
Thus, the area of the circle in terms of \( \pi \) is:
\[
A = 289\pi \, \text{m}^2
\]
\[
A = \pi r^2
\]
where \( r \) is the radius of the circle. Given that the radius \( r \) is 17 m, we can substitute this value into the formula:
\[
A = \pi (17)^2
\]
Calculating \( 17^2 \):
\[
17^2 = 289
\]
Now substituting back into the area formula:
\[
A = \pi \times 289
\]
Thus, the area of the circle in terms of \( \pi \) is:
\[
A = 289\pi \, \text{m}^2
\]