1. The problem states that the diameter of a circle is 16 meters, and we need to find the area of the circle rounded to the nearest hundredth. 2. Recall the formula for the area of a circle: $$A = \pi r^2$$ where $r$ is the radius of the circle. 3. The radius $r$ is half the diameter, so $$r = \frac{16}{2} = 8$$ meters. 4. Substitute $r = 8$ into the area formula: $$A = \pi \times 8^2 = \pi \times 64$$ 5. Calculate the area using $\pi \approx 3.14159$: $$A \approx 3.14159 \times 64 = 201.06176$$ 6. Round the result to the nearest hundredth: $$A \approx 201.06$$ square meters. Therefore, the area of the circle is approximately 201.06 square meters.