Laser interferometry using Wollaston prisms has been applied to density measurements in freely expanding flows issuing from a sonic orifice. The radially resolved densities have been determined by means of an Abel inversion under the assumption of an axisymmetric flow. Thus determined densities have been compared with the predicted ones from the formula for a Mach number in the free jets proposed by Ashkenas and Sherman. The comparison shows a fairly good agreement between the experimental and predicted results in the region surrounded by the barrel shock and Mach disk, except for the flowfield near the orifice.