A program is sought to calculate the radius of a circle from given Cartesian coordinates of points. While it can be done manually, using a math scripting program like GNU Octave is recommended for efficiency, especially when dealing with multiple calculations. The discussion highlights that the uniqueness of the radius depends on the number of points provided; too few points may not yield a definitive radius. Additionally, a clarification is made that a circumference itself does not possess a radius, but a circle does.