1. **Problem statement:** Find the length of the arc $xzy$ on a circle where the radius is 4.8 ft and the minor arc $xz$ subtends an angle of 45° at the center. 2. **Formula:** The length of an arc $s$ is given by $$s = r \theta$$ where $r$ is the radius and $\theta$ is the central angle in radians. 3. **Convert angle to radians:** $$45^\circ = \frac{45 \pi}{180} = \frac{\pi}{4}$$ 4. **Determine the total angle for arc $xzy$:** The arc $xzy$ consists of the minor arc $xz$ (45°) plus the arc $zy$. Since $zy$ is the other half of the circle minus $xz$, the total angle is $$\theta = \pi + \frac{\pi}{4} = \frac{5\pi}{4}$$ 5. **Calculate arc length:** $$s = r \theta = 4.8 \times \frac{5\pi}{4} = 4.8 \times \frac{5\pi}{4}$$ 6. **Simplify:** $$s = \frac{4.8 \times 5 \pi}{4} = \frac{24 \pi}{4} = 6 \pi$$ **Final answer:** The length of arc $xzy$ is $6\pi$ ft.