1. **State the problem:** We need to find the area of a circle given its diameter is 14 kilometers. 2. **Formula:** The area $A$ of a circle is given by the formula $$A = \pi r^2$$ where $r$ is the radius of the circle. 3. **Find the radius:** The radius is half the diameter, so $$r = \frac{14}{2} = 7 \text{ kilometers}.$$ 4. **Calculate the area:** Substitute $r=7$ into the area formula: $$A = \pi \times 7^2 = \pi \times 49 = 49\pi.$$ 5. **Evaluate the area:** Using $\pi \approx 3.14159$, $$A \approx 49 \times 3.14159 = 153.9381.$$ 6. **Round the answer:** Rounded to the nearest hundredth, $$A \approx 153.94 \text{ square kilometers}.$$