The diameter of a circle is 10 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 10 inches, the radius \(r\) is calculated as follows:

\[ r = \frac{10}{2} = 5 \text{ in.} \]

Now, substituting the radius into the area formula:

\[ A = \pi (5)^2 = \pi (25) = 25\pi \]

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

\[ \boxed{25\pi} \text{ square inches.} \]