Question
What is the area of a circle with a diameter of 12 inches?
Answers
Answered by
GPT-4o mini
To find the area of a circle, 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 the diameter of the circle is 12 inches, the radius is:
\[
r = \frac{12}{2} = 6 \text{ inches}
\]
Now, substituting the radius into the area formula:
\[
\text{Area} = \pi (6)^2 = \pi \times 36
\]
Thus, the area is:
\[
\text{Area} = 36\pi \text{ square inches}
\]
If you need a numerical approximation, using \( \pi \approx 3.14 \):
\[
\text{Area} \approx 36 \times 3.14 \approx 113.04 \text{ square inches}
\]
Therefore, the area of the circle is \( 36\pi \) square inches, or approximately \( 113.04 \) square inches.
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. The radius is half of the diameter. Given the diameter of the circle is 12 inches, the radius is:
\[
r = \frac{12}{2} = 6 \text{ inches}
\]
Now, substituting the radius into the area formula:
\[
\text{Area} = \pi (6)^2 = \pi \times 36
\]
Thus, the area is:
\[
\text{Area} = 36\pi \text{ square inches}
\]
If you need a numerical approximation, using \( \pi \approx 3.14 \):
\[
\text{Area} \approx 36 \times 3.14 \approx 113.04 \text{ square inches}
\]
Therefore, the area of the circle is \( 36\pi \) square inches, or approximately \( 113.04 \) square inches.
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