  We estimate expression for velocity as a function of the radial coordinate
$r$ by using polynomial interpolation based on the experimental data of
rotational velocities at distant outer regions of galaxies. The interpolation
technique has been used to estimate fifth degree polynomial followed by cubic
spline interpolation. This rotational velocity is used to find the geometry of
galactic halo regions within the framework of Einstein's general relativity. In
this letter we have analyzed features of galactic halo regions based on two
possible choices for the dark matter density profile, viz. Navarro, Frenk \&
White (NFW) type~\citep{Navarro1996} and Universal Rotation Curve (URC)
~\citep{Castignani2012}. It is argued that spacetime of the galactic halo
possesses some of the characteristics needed to support traversable wormholes.
