1. The problem asks for the area of a semicircle with a diameter of 6 units. 2. The formula for the area of a full circle is $$A = \pi r^2$$ where $r$ is the radius. 3. Since the diameter $d = 6$, the radius $r = \frac{d}{2} = \frac{6}{2} = 3$ units. 4. The area of the full circle is $$A = \pi \times 3^2 = 9\pi$$. 5. A semicircle is half of a circle, so its area is $$\frac{1}{2} \times 9\pi = \frac{9\pi}{2}$$. 6. Using $\pi \approx 3.14$, the decimal area is $$\frac{9 \times 3.14}{2} = \frac{28.26}{2} = 14.13$$ units squared. 7. Final answers: - Exact area: $$\frac{9\pi}{2}$$ units squared - Approximate area: 14.13 units squared