Find the circumference of the circles whose diameters are 8 cm and 14 cm.

Answer

To find the circumference of circles with given diameters, we can follow these steps:

### Step 1: Understand the Formula for Circumference
The circumference (C) of a circle can be calculated using the formula:
\[ C = \pi \times D \]
where \( D \) is the diameter of the circle.

### Step 2: Calculate the Circumference for the First Circle
For the first circle, the diameter \( D_1 = 8 \) cm.
Using the formula:
\[ C_1 = \pi \times D_1 \]
Substituting the value of \( D_1 \):
\[ C_1 = \pi \times 8 \]

### Step 3: Substitute the Value of \( \pi \)
Using \( \pi \approx \frac{22}{7} \):
\[ C_1 = \frac{22}{7} \times 8 \]

### Step 4: Perform the Multiplication
Now, multiply:
\[ C_1 = \frac{22 \times 8}{7} = \frac{176}{7} \]

### Step 5: Convert to Decimal
Now, divide 176 by 7 to get the decimal value:
\[ C_1 \approx 25.14 \text{ cm} \]

### Step 6: Calculate the Circumference for the Second Circle
For the second circle, the diameter \( D_2 = 14 \) cm.
Using the formula:
\[ C_2 = \pi \times D_2 \]
Substituting the value of \( D_2 \):
\[ C_2 = \pi \times 14 \]

### Step 7: Substitute the Value of \( \pi \) Again
Using \( \pi \approx \frac{22}{7} \):
\[ C_2 = \frac{22}{7} \times 14 \]

### Step 8: Perform the Multiplication
Now, multiply:
\[ C_2 = \frac{22 \times 14}{7} = \frac{308}{7} \]

### Step 9: Convert to Decimal
Now, divide 308 by 7 to get the decimal value:
\[ C_2 = 44 \text{ cm} \]

### Final Answers
- The circumference of the circle with diameter 8 cm is approximately **25.14 cm**.
- The circumference of the circle with diameter 14 cm is **44 cm**.