1. **State the problem:** We need to find the area of a circle with a diameter of 14 mm. 2. **Formula for the area of a circle:** The area $A$ 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 $$r = \frac{14}{2} = 7 \text{ mm}$$ 4. **Calculate the area:** Substitute $r = 7$ into the area formula: $$A = \pi \times 7^2 = \pi \times 49 = 49\pi$$ 5. **Final answer:** The area of the circle is $$\boxed{49\pi \text{ mm}^2}$$ This means the area is 49 times pi square millimeters.