Question: A circle has a radius of $5$ in. What is the area of the circle? Write your answer using $\pi$.
1. **State the problem:** We need to find the area of a circle with radius $r = 5$ inches.
2. **Formula for the area of a circle:** The area $A$ of a circle is given by the formula:
$$A = \pi r^2$$
where $r$ is the radius of the circle.
3. **Substitute the radius into the formula:**
$$A = \pi \times 5^2$$
4. **Calculate the square of the radius:**
$$5^2 = 25$$
So,
$$A = \pi \times 25$$
5. **Final answer:**
The area of the circle is
$$25\pi$$
square inches.
This means the area is $25\pi$ in.$^2$ exactly, expressed in terms of $\pi$.