  The present paper is concerned with an inviscid limit problem of radially
symmetric stationary solutions for an exterior problem in $\mathbb{R}^n (n\ge
2)$ to compressible Navier-Stokes equation, describing the motion of viscous
barotropic gas without external forces, where boundary and far field data are
prescribed. For both inflow and outflow problems, the inviscid limit is
considered in a suitably small neighborhood of the far field state. For the
outflow problem, we prove the uniform convergence of the Navier-Stokes flow
toward the corresponding Euler flow in the inviscid limit. On the other hand,
for the inflow problem, we show that the Navier-Stokes flow uniformly converges
toward a linear superposition of the corresponding boundary layer profile and
the Euler flow in the inviscid limit. The estimates of algebraic rate toward
the inviscid limit are also obtained.
