Question

Ms. Garcia is teaching her students about the relationship between the circumference and diameter of car tires. She asks her students to measure the circumference and diameter of different car tires 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.



Tire 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 and write a conclusion based on the data, first, we'll need to use the relationship between the circumference (C) and diameter (d) of a circle, which is given by the formula:

\[ C = \pi \times d \]

The ratio \( \frac{C}{d} \) is equal to \( \pi \), which is approximately 3.14.

Assuming you have the measurements for circumference and diameter, I will outline how to complete the table. If you provide me with specific values, I can assist you further. Below is a template for how you might complete the table depending on hypothetical measurements of the tire data:

| Tire | Circumference, C (inches) | Diameter, d (inches) | Ratio: C/d |
|------|----------------------------|-----------------------|------------|
| 1 | 78.5 | 25.0 | 3.1 |
| 2 | 84.0 | 27.0 | 3.1 |
| 3 | 91.0 | 29.0 | 3.1 |
| 4 | 75.4 | 24.0 | 3.1 |

In this example:
- For Tire 1: C = 78.5 inches, d = 25.0 inches, so ratio \( C/d = 78.5 / 25.0 = 3.14 \) (rounded to 3.1).

Once you have filled in the table based on the actual measurements you collected, you can summarize your findings.

### Conclusion Statement:
Based on the data collected and calculated ratios, we observe that for the tires measured, the circumference of a circle is approximately 3 times the diameter of the circle. Thus, to the nearest whole number, the circumference of a circle is **3 times** the diameter of the circle.