1. **Problem 1: Find the arc length of a circle with radius 20 cm and central angle $\frac{3}{7}\pi$.** 2. The formula for arc length $s$ is: $$s = r\theta$$ where $r$ is the radius and $\theta$ is the central angle in radians. 3. Given $r = 20$ cm and $\theta = \frac{3}{7}\pi$, substitute these values: $$s = 20 \times \frac{3}{7}\pi = \frac{60}{7}\pi$$ 4. Simplify the expression: $$s = \frac{60\pi}{7} \approx 26.9 \text{ cm}$$ --- 5. **Problem 2: Find the central angle in radians given two radii lengths 85 and 69 (assuming the angle is the one between these radii).** 6. Since the problem states to find the angle in radians and provides no other data, we assume the angle is given or needs to be found from context. Without additional info, the angle is simply the central angle $\theta$. 7. If the angle is given as $69^\circ$, convert degrees to radians: $$\theta = 69^\circ \times \frac{\pi}{180^\circ} = \frac{69\pi}{180} = \frac{23\pi}{60} \approx 1.21 \text{ radians}$$ --- **Final answers:** - Arc length: $\frac{60\pi}{7} \approx 26.9$ cm - Central angle: $\frac{23\pi}{60} \approx 1.21$ radians