1. **State the problem:** Find the area of a circle with a diameter of 16 meters. 2. **Formula used:** The area $A$ of a circle is given by the formula: $$A = \pi r^2$$ where $r$ is the radius of the circle. 3. **Important rule:** The radius $r$ is half the diameter $d$. So, $$r = \frac{d}{2}$$ 4. **Calculate the radius:** Given diameter $d = 16$ m, $$r = \frac{16}{2} = 8 \text{ m}$$ 5. **Calculate the area:** Substitute $r = 8$ m into the area formula: $$A = \pi \times 8^2 = \pi \times 64 = 64\pi$$ 6. **Final answer:** The area of the circle is $$64\pi \text{ square meters}$$ This is the exact area. If you want a decimal approximation, use $\pi \approx 3.1416$: $$64 \times 3.1416 \approx 201.06 \text{ square meters}$$