Approximate Formulas for Average Distances Associated with Zones

This paper develops formulas for estimating average distances associated with zones. The average distance between two points, one located at random in a zone and another located at random in another, is first investigated. The average distance from a fixed point to a point located at random in a zone, and the average distance between two points located at random in the same zone, are also examined. The accuracy of the approximations for these average distances are found by examining some simple cases.