In the framework of spherical geometry for jellium and local spin density approximation, we have obtained the equilibrium r(s) values, (r) over bar(s)(N,zeta), of neutral and singly ionized "generic" N-electron clusters for their various spin polarizations, zeta. Our results reveal that (r) over bar(s)(N, zeta) as a function of zeta behaves differently depending on whether N corresponds to a closed-shell or an open-shell cluster. That is, for a closed-shell one, (r) over bar(s)(N, zeta) is an increasing function of zeta over the whole range 0 less than or equal to zeta less than or equal to 1, and for an open-shell one, it has a decreasing part corresponding to the range 0