Step 1: Understanding the relationship between focal length and radius of curvature.
The radius of curvature (\( R \)) and the focal length (\( f \)) of a concave mirror are related by:
\[
R = 2f
\]
Step 2: Calculating the radius of curvature.
Given \( f = 20 \) cm,
\[
R = 2 \times 20 = 40 \text{ cm}
\]
Step 3: Explanation of incorrect options.
- 15 cm, 10 cm, 60 cm are incorrect as they do not follow the formula \( R = 2f \).