Question

is there any relationship between radius of curvature and focal length of the mirror ?​

Answer 1

R = 2 f

where

R is Radius of curvature

and

f is focal length

This implies that the radius of curvature is twice to that of the focal length.

Answer 2

Focal length is equal to half of radius of curvature. The focal length (f) of a lens is the distance between the center of the lens and the point at which the reflected light, of a beam of light traveling parallel to the center line, meets the center line (principal axis)