Question
What is the area of a circular region whose diameter is 12 cm?
36 pie cm²
36 pie centimeters
12 pie centimeters
24 pie square centimeters
36 pie cm²
36 pie centimeters
12 pie centimeters
24 pie square 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 diameter of the circle is given as 12 cm, so the radius \( r \) is:
\[
r = \frac{\text{diameter}}{2} = \frac{12 \, \text{cm}}{2} = 6 \, \text{cm}
\]
Now, plug the radius into the area formula:
\[
\text{Area} = \pi (6 \, \text{cm})^2 = \pi (36 \, \text{cm}^2) = 36\pi \, \text{cm}^2
\]
Thus, the area of the circular region is:
\[
\boxed{36\pi \, \text{cm}^2}
\]
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. The diameter of the circle is given as 12 cm, so the radius \( r \) is:
\[
r = \frac{\text{diameter}}{2} = \frac{12 \, \text{cm}}{2} = 6 \, \text{cm}
\]
Now, plug the radius into the area formula:
\[
\text{Area} = \pi (6 \, \text{cm})^2 = \pi (36 \, \text{cm}^2) = 36\pi \, \text{cm}^2
\]
Thus, the area of the circular region is:
\[
\boxed{36\pi \, \text{cm}^2}
\]