1. **State the problem:** We are given the area of a circle as $36\pi$ square inches and need to find the circumference in terms of $\pi$. 2. **Recall formulas:** - Area of a circle: $$A = \pi r^2$$ - Circumference of a circle: $$C = 2\pi r$$ 3. **Find the radius:** Given $$A = 36\pi$$, substitute into the area formula: $$36\pi = \pi r^2$$ Divide both sides by $\pi$: $$\cancel{\pi} 36 = \cancel{\pi} r^2 \implies 36 = r^2$$ Take the square root of both sides: $$r = \sqrt{36} = 6$$ 4. **Calculate the circumference:** Use the circumference formula with $r=6$: $$C = 2\pi \times 6 = 12\pi$$ 5. **Final answer:** The circumference is $$12\pi$$ inches.