The diameter of a circle is 28 cm. Find its :
circumference

Answer

To find the circumference of a circle given its diameter, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Diameter**:
The diameter of the circle is given as 28 cm.

2. **Calculate the Radius**:
The radius (r) of a circle is half of the diameter.
\[ r = \frac{\text{Diameter}}{2} = \frac{28 \text{ cm}}{2} = 14 \text{ cm} \]

3. **Use the Circumference Formula**:
The formula for the circumference (C) of a circle is:
\[ C = 2\pi r \]
Here, we will use the value of \(\pi\) as \(\frac{22}{7}\).

4. **Substitute the Radius into the Formula**:
Now substitute the radius into the circumference formula:
\[ C = 2 \times \frac{22}{7} \times 14 \]

5. **Simplify the Calculation**:
First, calculate \(2 \times 14\):
\[ 2 \times 14 = 28 \]
Now substitute this back into the equation:
\[ C = \frac{22}{7} \times 28 \]

6. **Perform the Multiplication**:
Now, simplify \(\frac{28}{7}\):
\[ \frac{28}{7} = 4 \]
Therefore:
\[ C = 22 \times 4 = 88 \text{ cm} \]

7. **Final Answer**:
The circumference of the circle is:
\[ C = 88 \text{ cm} \]