Uniform polar distance is a distribution function designed to define a random positioning of transmitter along the radius of coverage cell
R (i.e. all the points are distributed over a circular area defined by max distance with the same probability), to achieve a random uniform distribution of transmitters within a circular area centred around a given zero-point.
...
Note that this is equivalent to defining a uniform density of transmitters on a circular area together with uniform polar angle (with 360 deg) or uniform distribution in the angle domain (0,360 deg).
Figure 404: Uniform polar distance distribution: parameters (left) PDF (right)
...