Identifying Major or Minor Arc on a Circle: How Do Three Points Help?

[jrm2002]

I have 3 points defined on an arc of a circle.I need to identify whether they lie on the major arc or minor arc.How is it possible?

I know the three points.
I know the radius of the circle

 

[mathman]

There are three possible arcs, since anyone of the points can be defined to be the interior point.