Find the circumference of a circle of radius 10.5 cm.

Options

A. 68 cm
B. 66 cm
C. 64 cm
D. 62 cm

Answer

To find the circumference of a circle with a radius of 10.5 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the radius of the circle.**
- Given: Radius (r) = 10.5 cm.

2. **Recall the formula for the circumference of a circle.**
- The formula for the circumference (C) of a circle is:
\[ C = 2 \pi r \]

3. **Substitute the value of π.**
- We can use the approximation of π as \( \frac{22}{7} \).

4. **Substitute the radius into the formula.**
- Now, substitute the values into the formula:
\[ C = 2 \times \frac{22}{7} \times 10.5 \]

5. **Simplify the expression.**
- First, simplify \( \frac{10.5}{7} \):
\[ \frac{10.5}{7} = 1.5 \]
- Now substitute this back into the equation:
\[ C = 2 \times 22 \times 1.5 \]

6. **Calculate the final value.**
- Now, calculate \( 2 \times 22 \times 1.5 \):
\[ 2 \times 22 = 44 \]
\[ 44 \times 1.5 = 66 \]

7. **State the final answer.**
- Therefore, the circumference of the circle is:
\[ C = 66 \text{ cm} \]

### Final Answer:
The circumference of the circle is **66 cm**.