If the focal lenght of a convex mirror is 12 cm, what would be its radius of curvature?

Answer

To solve the question, "If the focal length of a convex mirror is 12 cm, what would be its radius of curvature?", we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Information**:
- The focal length (F) of the convex mirror is given as 12 cm.

2. **Understand the Relationship**:
- The relationship between the focal length (F) and the radius of curvature (R) for mirrors is given by the formula:
\[ F = \frac{R}{2} \]
- Here, F is the focal length, and R is the radius of curvature.

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

4. **Substitute the Value of F**:
- Now, substitute the given value of the focal length into the rearranged formula:
\[ R = 2 \times 12 \, \text{cm} \]

5. **Calculate the Radius of Curvature**:
- Performing the multiplication:
\[ R = 24 \, \text{cm} \]

6. **Conclusion**:
- Therefore, the radius of curvature of the convex mirror is 24 cm.

### Final Answer:
The radius of curvature of the convex mirror is **24 cm**.

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