1. **State the problem:** We need to complete the table using the formula for arc length $$s = r\theta$$ where $$r$$ is the radius, $$\theta$$ is the angle in radians, and $$s$$ is the arc length (distance). We are given some values and need to find the missing ones.
2. **Given values:**
- Radius $$r = 80.0$$ cm
- Angle $$\theta = 1$$ rad (assumed from context since not given explicitly)
- Distance $$s = 192$$ cm (given for some angle)
3. **Find the missing angle $$\theta$$ for $$s = 192$$ cm:**
Using $$s = r\theta$$, solve for $$\theta$$:
$$\theta = \frac{s}{r}$$
$$\theta = \frac{192}{80.0} = 2.4$$ radians (rounded to three significant digits)
4. **Find the missing distance $$s$$ for $$\theta = 1$$ rad:**
Using $$s = r\theta$$:
$$s = 80.0 \times 1 = 80.0$$ cm
5. **Summary:**
- For $$\theta = 1$$ rad, $$s = 80.0$$ cm
- For $$s = 192$$ cm, $$\theta = 2.4$$ rad
All answers are rounded to three significant digits as requested.
Arc Length E32D62
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