If the focal length of a concave mirror is 14 cm, what would be its radius of curvature?

Answer

To find the radius of curvature of a concave mirror when the focal length is given, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given information**:
- The focal length (F) of the concave mirror is given as 14 cm.

2. **Recall the relationship between focal length and radius of curvature**:
- The formula that relates the focal length (F) and the radius of curvature (R) of a concave mirror is:
\[ F = \frac{R}{2} \]

3. **Rearrange the formula to find the radius of curvature (R)**:
- To find R, we can rearrange the formula:
\[ R = 2F \]

4. **Substitute the value of the focal length into the formula**:
- Now, substitute F = 14 cm into the equation:
\[ R = 2 \times 14 \text{ cm} \]

5. **Calculate the radius of curvature**:
- Performing the multiplication:
\[ R = 28 \text{ cm} \]

6. **State the final answer**:
- Therefore, the radius of curvature of the concave mirror is 28 cm.

### Final Answer:
The radius of curvature is 28 cm.

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