1. **State the problem:** Find the circumference of a circle with radius $5$ meters. 2. **Formula:** The circumference $C$ of a circle is given by the formula: $$C = 2 \pi r$$ where $r$ is the radius. 3. **Substitute the radius:** Here, $r = 5$ meters, so: $$C = 2 \pi \times 5$$ 4. **Simplify:** $$C = 10 \pi$$ 5. **Final answer:** The circumference of the circle is: $$10 \pi \text{ meters}$$ This means the distance around the circle is $10 \pi$ meters, approximately $31.42$ meters if you use $\pi \approx 3.1416$.