To solve the problem, we need to find the focal length of a spherical mirror given its radius of curvature.
1. Using the Relationship Between Radius and Focal Length:
For a spherical mirror, the focal length ($f$) is half of the radius of curvature ($R$):
$ f = \frac{R}{2} $
2. Substituting the Given Radius:
$ R = 16 \, \text{cm} $
$ f = \frac{16}{2} = 8 \, \text{cm} $
Final Answer:
The focal length is $ 8 \, \text{cm} $.