In this paper, the authors present a geometrically based method for the calculation of the node-to-node distance distribution function in circular-shaped networks. In their approach, this function is obtained from the intersection volume of a sphere and an ellipsoid. The method is valid for both overlapping and non-overlapping networks. Simulation results and comparisons with methods in the literature demonstrate the efficacy of the approach. The relation between networks geometric parameters and distance statistics is explored.