1. The problem is to find the area of a semicircle with a diameter of length 2 units. 2. Recall the formula for the area of a full circle: $$A=\pi r^{2}$$, where $r$ is the radius. 3. Since the diameter is 2, the radius is half of that, so: $$r = \frac{2}{2} = 1$$. 4. Calculate the area of the full circle using the radius 1: $$A = \pi \times 1^{2} = \pi$$. 5. The area of a semicircle is half the area of the full circle: $$A_{semicircle} = \frac{1}{2} \times \pi = \frac{\pi}{2}$$. 6. If you want a decimal approximation, use $\pi \approx 3.14$: $$A_{semicircle} \approx \frac{3.14}{2} = 1.57$$. Final answers: - Exact area: $\frac{\pi}{2}$ units$^{2}$ - Approximate area: $1.57$ units$^{2}$