Sorting list of two-dimensional coordinates by clockwise angle using Python?

Question

I have a set of points with x and y coordinates that can be seen in the figure below. The coordinates of the 9 points were stored in a list as follows:

L = [[5,2         


        

Answer 1

Sorting by angle is not enough
We should sort points lexicographicallly by polar angle and distance from origin
We sort by polar angle and in case of a tie we sort by a distance from origin