1. **State the problem:** We need to find the area of a circle with radius $r = 6$ miles. 2. **Formula:** The area $A$ of a circle is given by the formula: $$A = \pi r^2$$ where $r$ is the radius. 3. **Substitute the radius:** $$A = \pi \times 6^2$$ 4. **Calculate the square:** $$6^2 = 36$$ So, $$A = \pi \times 36$$ 5. **Calculate the area:** Using $\pi \approx 3.14159$, $$A \approx 3.14159 \times 36 = 113.09724$$ 6. **Round the answer:** Rounded to the nearest hundredth, $$A \approx 113.10$$ **Final answer:** The area of the circle is approximately $113.10$ square miles.