1. **State the problem:** We need to find the distance traveled by the tip of the minute hand of a clock in one hour. 2. **Identify the shape and formula:** The tip of the minute hand moves in a circle. The distance traveled in one full rotation is the circumference of the circle. 3. **Formula for circumference:** $$C = 2 \pi r$$ where $r$ is the radius (length of the minute hand). 4. **Given:** Length of minute hand $r = 6$ inches. 5. **Calculate circumference:** $$C = 2 \pi \times 6 = 12 \pi$$ 6. **Approximate value:** Using $\pi \approx 3.14$, $$C \approx 12 \times 3.14 = 37.68$$ inches. 7. **Interpretation:** The tip of the minute hand travels approximately 37.68 inches in one hour. **Final answer:** 37.68 inches (Option A).