https://file.aiquickdraw.com/mathbot/file/172963581557629cxr2rs.jpg

To calculate how far your model tire would travel if rolled five times, we can use the formula for the circumference of a circle, which is given by:

\[
C = 2 \pi r
\]

where \( r \) is the radius of the tire.

### Steps to solve:

1. **Given Diameter**:
   The diameter of the tire is 29 inches. Therefore, the radius \( r \) is half of the diameter:
   \[
   r = \frac{29}{2} = 14.5 \text{ inches}
   \]

2. **Circumference of the Tire**:
   Now, we calculate the circumference using the formula \( C = 2 \pi r \):
   \[
   C = 2 \pi (14.5) \approx 91.106 \text{ inches}
   \]

3. **Distance Traveled After 5 Rotations**:
   If the model tire rolls 5 times, the total distance traveled would be:
   \[
   \text{Distance} = 5 \times C = 5 \times 91.106 \approx 455.53 \text{ inches}
   \]

4. **Convert to Feet (optional)**:
   Since 1 foot = 12 inches, you can convert the distance to feet:
   \[
   \text{Distance in feet} = \frac{455.53}{12} \approx 37.96 \text{ feet}
   \]

So, if your model tire rolls 5 times, it will travel approximately **455.53 inches** or about **37.96 feet**.

Would you like more details on any part of this solution, or do you have any other questions?

### Here are some related questions:
1. How would the distance change if the tire rolled 10 times instead of 5?
2. What would the distance be if the tire had a different diameter, such as 27 inches?
3. How can we calculate the number of rotations needed to cover a specific distance, say 100 feet?
4. How does the diameter of the rim (622 mm) compare to the diameter of the tire, and why is this difference important?
5. What role does the value of \( \pi \) play in the calculation of circumference?

### Tip:
When working with real-world measurements, always double-check units (inches, feet, etc.) and convert them properly when needed to avoid errors in the final result.

Here is a real tire size. If I have a model and wanted to know how far my model tire would travel if I rolled it 5 times. 'model size' same as your project calculations.

Learn how to calculate the distance a 29-inch tire travels after rolling 5 times using the formula for the circumference of a circle. This problem covers key geometric concepts like radius, diameter, and circumference calculation. Suitable for students in Grades 8-10.

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