Question

Four points are placed on a circle. How many segments will it take to connect each point to every other point?

Answer 1

This is same as constructing a complete graph with 4 vertices.

\[\frac{(4 \times 3)}{2} = 6 \]

Answer 2

Or doe the circle itself resembles a connection?

Answer 3

If that is the case then the answer is 2.

Answer 4

Assume you are referring to line segments.
Little bit of experimenting will show you that each time you connect a dot to the remaining it reduces by 1 so
3+2+1 = 6