I'm not sure if this is a very easy or a very hard question... What I know is that you have to be patient as my definition of it is probably not very rigorous.
In a circle, the centre is equidistant from the points on the edge.
However, can I also safely assume that the centre is the point at the minimum combined distance from the edge? In other words, is the sum of the distances from all the points on the edge of a circle to a certain point within the circle minimum if the given point is also the centre?
Thanx for your answers.