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.

1 answer

To complete the table, we will need specific measurements for the circumference and diameter of the car tires in order to calculate the ratio. Since you haven’t provided any concrete data, I will demonstrate the process with hypothetical measurements.

Let’s say we have the following circumference and diameter data for three different tires:

| Tire | Circumference, C (inches) | Diameter, d (inches) | Ratio: C/d | |------|----------------------------|-----------------------|------------| | 1 | 78.5 | 25 | 3.1 | | 2 | 84.0 | 27 | 3.1 | | 3 | 94.2 | 30 | 3.1 |

Calculating the Ratio:

For each tire, the ratio is calculated by dividing the circumference by the diameter (C/d).

  1. For Tire 1:
    • Ratio = 78.5 / 25 = 3.14 ≈ 3.1
  2. For Tire 2:
    • Ratio = 84.0 / 27 = 3.11 ≈ 3.1
  3. For Tire 3:
    • Ratio = 94.2 / 30 = 3.14 ≈ 3.1

Conclusion:

Based on the data, the calculated ratio for all the tires consistently approximates 3.1. Therefore, we can conclude that:

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

(If you provide actual measurements, I can give you the precise calculations and conclusions based on your data.)