1. **Problem statement:** We have a circle with center C and radius 6 cm. We need to find the length of the arc ADB corresponding to the central angle $\angle CAB = \frac{\pi}{8}$ radians. 2. **Formula used:** The length of an arc $s$ in a circle is given by the formula: $$s = r\theta$$ where $r$ is the radius and $\theta$ is the central angle in radians. 3. **Given values:** - Radius $r = 6$ cm - Angle $\theta = \frac{\pi}{8}$ radians 4. **Calculate the arc length:** $$s = 6 \times \frac{\pi}{8} = \frac{6\pi}{8} = \frac{3\pi}{4}$$ 5. **Evaluate the numerical value:** Using $\pi \approx 3.1416$, $$s \approx \frac{3 \times 3.1416}{4} = \frac{9.4248}{4} = 2.3562\text{ cm}$$ 6. **Round to the nearest 0.1 cm:** $$s \approx 2.4\text{ cm}$$ **Final answer:** The length of arc ADB is approximately $2.4$ cm.