1. **State the problem:** Calculate the circumference $C$ of a circle with radius $r = 11.5$ inches. 2. **Formula:** The circumference of a circle is given by the formula: $$C = 2 \pi r$$ where $\pi$ is approximately 3.1416. 3. **Substitute the radius:** $$C = 2 \pi \times 11.5$$ 4. **Calculate:** $$C = 2 \times 3.1416 \times 11.5 = 72.2568$$ 5. **Final answer:** The circumference of the circle is approximately $$C \approx 72.26 \text{ inches}$$