https://file.aiquickdraw.com/mathbot/file/1727303922109wxbu39np.jpg

The image shows three circles, each with given circumference and diameter values. The question asks you to use the provided measurements and calculate the relationship between the circumference and diameter.

### For reference:
- **Circle 1**:  
  - Circumference: 25.122 units  
  - Diameter: 8 units
- **Circle 2**:  
  - Circumference: 15.705 units  
  - Diameter: 5 units
- **Circle 3**:  
  - Circumference: 39.27 units  
  - Diameter: 12.5 units

### Formula:
The relationship between the circumference (\( C \)) and diameter (\( d \)) of a circle is given by the formula:
\[
C = \pi \cdot d
\]
where \( \pi \approx 3.14159 \).

Let me compute the ratio of the circumference to the diameter for each circle to check consistency.

#### Circle 1:
\[
\frac{C_1}{d_1} = \frac{25.122}{8} \approx 3.14025
\]

#### Circle 2:
\[
\frac{C_2}{d_2} = \frac{15.705}{5} \approx 3.141
\]

#### Circle 3:
\[
\frac{C_3}{d_3} = \frac{39.27}{12.5} \approx 3.1416
\]

These values are all close to \( \pi \), verifying the correct relationship between the circumference and diameter.

Would you like me to provide more details or explanations on this?

### Related Questions:
1. What is the circumference of a circle if the diameter is 10 units?
2. How would the circumference change if the diameter doubled?
3. Can you calculate the radius of a circle if the circumference is known?
4. Why is the ratio of circumference to diameter always the same?
5. How can you approximate \( \pi \) using physical measurements of circles?

### Tip:
Remember, the ratio of circumference to diameter will always approximate \( \pi \), regardless of the circle's size.

Use the measurements above and the calculator to fill in the blanks: calculate the ratio of circumference to diameter for three circles with given measurements.

Learn how to calculate the ratio of circumference to diameter using the measurements of three different circles. This problem demonstrates how the ratio approximates π (3.14159) and applies key geometric concepts for students in Grades 6-8.

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