1. **State the problem:** We need to find the area of a semi-circular field with a diameter of 18 meters. 2. **Formula for the area of a circle:** The area $A$ of a full circle is given by $$A = \pi r^2$$ where $r$ is the radius. 3. **Important rule:** Since the field is a semi-circle (half of a circle), its area is half the area of a full circle: $$A_{semi} = \frac{1}{2} \pi r^2$$ 4. **Calculate the radius:** The radius $r$ is half the diameter: $$r = \frac{18}{2} = 9$$ 5. **Calculate the area:** Substitute $r=9$ and $\pi=3.14$ into the formula: $$A_{semi} = \frac{1}{2} \times 3.14 \times 9^2$$ $$= \frac{1}{2} \times 3.14 \times 81$$ 6. **Simplify:** $$A_{semi} = \frac{1}{2} \times 254.34$$ $$= 127.17$$ 7. **Round to the nearest square foot:** $$\boxed{127}$$ So, the area of the semi-circular field is approximately 127 square meters.