  We solve Dirac-Bogoliubov-De-Gennes (DBdG) equation in a
superconductor-normal graphene superconductor (SGS) junction with Corbino disk
structure to investigate the Josephson current through this junction. We find
that the critical current $I_c$ has a nonzero value at Dirac point in which the
concentration of the carriers is zero. We show this nonzero critical current
depends on the system geometry and it decreases monotonically to zero by
increasing the ratio of the outer to inner radii of the Corbino disk
($R_2/R_1$), while in the limit of $R_2/R_1 \rightarrow 1$ it scales like a
diffusive Corbino disk. The product of the critical current and the
normal-state resistance $I_cR_N$ attains the same value for the planar
structure at zero doping. These results reveals the pseudodiffusive behavior of
the graphene Corbino Josephson junction similar to the planar structure.
