1. **State the problem:** We need to find the arc length $s$ using the formula $s = r\theta$, where $r$ is the radius and $\theta$ is the angle in radians. 2. **Convert the angle from degrees to radians:** Since $\theta$ is given in degrees, convert it to radians using the formula: $$\theta_{radians} = \theta_{degrees} \times \frac{\pi}{180}$$ Given $\theta = 36.0^\circ$: $$\theta = 36.0 \times \frac{\pi}{180} = \frac{36.0\pi}{180} = \frac{\cancel{36.0}\pi}{\cancel{180}5} = \frac{\pi}{5} \approx 0.628$$ 3. **Calculate the arc length $s$:** Using $r = 4.00$ cm and $\theta \approx 0.628$ radians: $$s = r\theta = 4.00 \times 0.628 = 2.512$$ 4. **Round the answer to three significant digits:** $$s \approx 2.51 \text{ cm}$$ **Final answer:** The distance $s$ is approximately 2.51 cm.