The diameter of a circle is 12 in. Find its area in terms of piπ.

1 answer

To find the area of a circle, you can use the formula:

\[ A = \pi r^2 \]

where \( r \) is the radius of the circle. The radius is half of the diameter. Given that the diameter is 12 inches, we can calculate the radius:

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

Now, we can substitute the radius into the area formula:

\[ A = \pi (6)^2 = \pi \times 36 = 36\pi \]

Thus, the area of the circle in terms of \(\pi\) is

\[ \boxed{36\pi} \text{ square inches.} \]