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If a circle is 12 feet in diameter, what is the area of the circle in terms of π?

36π square feet

To determine 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 that the diameter of the circle is 12 feet, the radius would be:

\[ r = \frac{12}{2} = 6 \text{ feet} \]

Now, substituting the radius into the area formula:

\[ \text{Area} = \pi (6)^2 \]

\[ \text{Area} = \pi \times 36 \]

\[ \text{Area} = 36\pi \text{ square feet} \]

Thus, the area of the circle in terms of π is 36π square feet, confirming that this is the correct answer. The calculation directly follows from the relationship between the diameter, radius, and the formula for the area of a circle, ensuring accuracy.

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