Question

Mr. Thompson is teaching his students about the relationship between the circumference and diameter of a bicycle wheel. He asks his students to measure the circumference and diameter of a bicycle wheel using a tape measure. Each group of students records their measurements in a table. One group's data is shown below:

Complete the table and write a conclusion statement based on the data provided.



Wheel Circumference, C (inches) Diameter, d (inches) Ratio:




(Round to the nearest tenth)
Conclusion: To the nearest whole number, the circumference of a circle is
times the diameter of the circle.

Answer 1

To complete the table, we will need hypothetical values for the circumference and diameter of a bicycle wheel. For this example, let's assume the following measurements:

| Wheel | Circumference, C (inches) | Diameter, d (inches) | Ratio (C/d) |
|-------|----------------------------|-----------------------|--------------|
| 1 | 62.8 | 20 | 3.1 |
| 2 | 78.5 | 25 | 3.1 |
| 3 | 94.2 | 30 | 3.1 |
| 4 | 125.6 | 40 | 3.1 |

Now, let's calculate the ratio for each set of data:

1. For Wheel 1:
- \( \text{Ratio} = \frac{C}{d} = \frac{62.8}{20} = 3.14 \) (rounded to 3.1)

2. For Wheel 2:
- \( \text{Ratio} = \frac{C}{d} = \frac{78.5}{25} = 3.14 \) (rounded to 3.1)

3. For Wheel 3:
- \( \text{Ratio} = \frac{C}{d} = \frac{94.2}{30} = 3.14 \) (rounded to 3.1)

4. For Wheel 4:
- \( \text{Ratio} = \frac{C}{d} = \frac{125.6}{40} = 3.14 \) (rounded to 3.1)

The completed table would look like this:

| Wheel | Circumference, C (inches) | Diameter, d (inches) | Ratio (C/d) |
|-------|----------------------------|-----------------------|-------------|
| 1 | 62.8 | 20 | 3.1 |
| 2 | 78.5 | 25 | 3.1 |
| 3 | 94.2 | 30 | 3.1 |
| 4 | 125.6 | 40 | 3.1 |

**Conclusion:** To the nearest whole number, the circumference of a circle is **3** times the diameter of the circle.