1. **State the problem:** We are given diameters and circumferences of circles and need to calculate the ratio $\frac{C}{d}$ for each to the nearest hundredth. 2. **Formula:** The ratio of circumference to diameter is given by $$\frac{C}{d}$$ This ratio is known as $\pi$ (pi), approximately 3.14. 3. **Calculate each ratio:** - For $d=20$, $C=62.83$: $$\frac{C}{d} = \frac{62.83}{20}$$ Show canceling: $$\frac{\cancel{62.83}}{\cancel{20}} = 3.1415$$ Rounded to nearest hundredth: 3.14 - For $d=10$, $C=31.41$: $$\frac{31.41}{10} = 3.141$$ Rounded: 3.14 - For $d=6$, $C=18.84$: $$\frac{18.84}{6} = 3.14$$ - For $d=2$, $C=6.28$: $$\frac{6.28}{2} = 3.14$$ - For $d=1$, $C=3.14$: $$\frac{3.14}{1} = 3.14$$ 4. **Conclusion:** All ratios approximate $\pi$ and are about 3.14 to the nearest hundredth. **Final answers:** - $\frac{62.83}{20} \approx 3.14$ - $\frac{31.41}{10} \approx 3.14$ - $\frac{18.84}{6} \approx 3.14$ - $\frac{6.28}{2} \approx 3.14$ - $\frac{3.14}{1} \approx 3.14$