1. **State the problem:** Find the area of a circle with radius $4$ meters. 2. **Formula:** The area $A$ of a circle is given by the formula: $$A = \pi r^2$$ where $r$ is the radius. 3. **Substitute the radius:** Here, $r = 4$ meters, so: $$A = \pi (4)^2$$ 4. **Calculate the square:** $$A = \pi \times 16$$ 5. **Final answer:** $$A = 16\pi \text{ square meters}$$ This means the area of the circle is $16\pi$ square meters, which is approximately $50.27$ square meters if you use $\pi \approx 3.1416$.