Inscribed Angles and Arcs: Even Modified

Inscribed Angles and Arcs
See the questions below.
Grab a point on circle C and move it around the edge of the circle. What do you notice about the central angle and inscribed angle?[br]Now grab a point on circle O and move it around and also change the size of the circle. Does changing the size of the circle effect that angle degrees?

Information: Inscribed Angles and Arcs: Even Modified