1. **State the problem:** We need to find the length of the minor arc on a circle of radius $r=3$ subtended by an angle of $0.687\pi$ radians. 2. **Formula for arc length:** The length $s$ of an arc subtended by an angle $\theta$ (in radians) on a circle of radius $r$ is given by: $$s = r \times \theta$$ 3. **Apply the values:** Here, $r=3$ and $\theta = 0.687\pi$. $$s = 3 \times 0.687\pi$$ 4. **Calculate the product:** $$s = 3 \times 0.687 \times \pi = 2.061 \pi$$ 5. **Interpretation:** The minor arc length from point C to point B is $2.061\pi$ units. 6. **Optional decimal approximation:** Using $\pi \approx 3.1416$, $$s \approx 2.061 \times 3.1416 = 6.47$$ So, the minor arc length is approximately 6.47 units. **Final answer:** $$\boxed{s = 2.061\pi \approx 6.47}$$