We are given R (radius of circle), u (speed of person) and t (time traveled by person). Hence, we can calculate the distance traveled, D.
Assume that the starting position is evenly distributed in the circle.
Also, the person can take any direction, and the direction will be steady.
Is it possible for this to be solved for R,u and t? I can only find a solution which includes D_start, the initial distance of the person from the center of the circle.