If the diameter of a circle is 7 cm, what will be its circumference (in cm) ?

Options

A. 44
B. 22
C. 26
D. 52

Answer

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

### Step-by-Step Solution:

1. **Identify the Diameter**: The diameter of the circle is given as 7 cm.

2. **Calculate the Radius**: The radius (r) of a circle is half of the diameter.
\[ r = \frac{\text{Diameter}}{2} = \frac{7 \text{ cm}}{2} = 3.5 \text{ cm} \]

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

4. **Substitute the Radius into the Formula**:
\[ C = 2 \times \frac{22}{7} \times 3.5 \]

5. **Calculate the Circumference**:
- First, calculate \(2 \times 3.5\):
\[ 2 \times 3.5 = 7 \]
- Now substitute back into the circumference formula:
\[ C = \frac{22}{7} \times 7 \]
- The \(7\) in the numerator and denominator cancels out:
\[ C = 22 \text{ cm} \]

### Final Answer:
The circumference of the circle is **22 cm**.

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