1. The problem asks for the formula to find the circumference of a circle given the radius $r = 5$ inches. 2. The formula for the circumference $C$ of a circle using the radius $r$ is: $$C = 2\pi r$$ This formula means the circumference is twice the product of $\pi$ and the radius. 3. Substitute the given radius $r = 5$ into the formula: $$C = 2\pi \times 5$$ 4. Simplify the multiplication: $$C = 10\pi$$ 5. Therefore, the circumference of the circle is: $$\boxed{10\pi}$$ inches. This is the exact circumference in terms of $\pi$.