Find the circumference and the area of a circle with diameter of 8 m. Use the value of 3.14 for pi

To find the circumference and area of a circle with a diameter of 8 meters, we'll use the following formulas:

1. **Circumference**:  
   \[
   C = \pi \times d
   \]
   where \( d \) is the diameter.

2. **Area**:  
   \[
   A = \pi \times r^2
   \]
   where \( r \) is the radius, and the radius is half of the diameter.

### Given:
- Diameter (\( d \)) = 8 meters
- \( \pi = 3.14 \)

### Solution:

1. **Calculate the Circumference:**

   \[
   C = 3.14 \times 8 = 25.12 \text{ meters}
   \]

2. **Calculate the Area:**

   First, find the radius (\( r \)):

   \[
   r = \frac{d}{2} = \frac{8}{2} = 4 \text{ meters}
   \]

   Now, calculate the area:

   \[
   A = 3.14 \times 4^2 = 3.14 \times 16 = 50.24 \text{ square meters}
   \]

### Final Answers:
- **Circumference**: 25.12 meters
- **Area**: 50.24 square meters

Would you like more details or have any questions?

### Related Questions:
1. How do you derive the formula for the circumference of a circle?
2. What is the relationship between diameter and radius?
3. How would the area change if the diameter was doubled?
4. What are the units for area and circumference?
5. How can you express the area of a circle in terms of the diameter?
6. What is the significance of the value of \(\pi\)?
7. How would the circumference change if the diameter was halved?
8. How does the formula for the area of a circle compare to the formula for the area of a square?

### Tip:
Always remember that the circumference formula \( C = 2\pi r \) can also be written as \( C = \pi d \), where \( d \) is the diameter. This makes calculations quicker if you know the diameter directly.

Learn how to find the circumference and area of a circle with a diameter of 8 meters using the formulae for circumference and area of a circle. Detailed step-by-step solution provided with calculations based on π = 3.14. Suitable for Grades 6-8 students studying circle properties.

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