Central and Inscribed Angles


Major vs. Minor Arc

Where is the central angle? Where is the inscribed angle? Move points D and C. What do you notice about the measure of the central and inscribed angles?  Now move point E? What happens? What do you notice about the intercepted arc ( also called the minor arc)? Could you find the measure of the major arc? Things to add to your notes: Central Angle theorem: Measure of the inscribed angle is half the central angle. Major Arc= 360 - minor arc Arc Addition Postulate: the measure of an arc formed by two adjacent arcs are the sum of the measures of the two arcs.