Question
What is the area of a circular region whose diameter is 6 centimeters
Answers
GPT-4o mini
To find the area of a circular region, you can use the formula:
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. The radius is half of the diameter.
Given that the diameter is 6 centimeters, the radius \( r \) is:
\[
r = \frac{6 \, \text{cm}}{2} = 3 \, \text{cm}
\]
Now plug the radius into the area formula:
\[
\text{Area} = \pi (3 \, \text{cm})^2 = \pi (9 \, \text{cm}^2) = 9\pi \, \text{cm}^2
\]
Therefore, the area of the circular region is:
\[
9\pi \, \text{cm}^2 \approx 28.27 \, \text{cm}^2
\]
(using \( \pi \approx 3.14 \)).
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. The radius is half of the diameter.
Given that the diameter is 6 centimeters, the radius \( r \) is:
\[
r = \frac{6 \, \text{cm}}{2} = 3 \, \text{cm}
\]
Now plug the radius into the area formula:
\[
\text{Area} = \pi (3 \, \text{cm})^2 = \pi (9 \, \text{cm}^2) = 9\pi \, \text{cm}^2
\]
Therefore, the area of the circular region is:
\[
9\pi \, \text{cm}^2 \approx 28.27 \, \text{cm}^2
\]
(using \( \pi \approx 3.14 \)).