Central angle and arc measures defined and illustrated Inscribed angles and angles with the vertex on the circle defined and illustrated Definition and explanation along with an illustration of an angle inside the circle but not central Sample problem- Finding the measure of an inside angle given two arc measures. Angles outside a circle defined and illustrated Formula for finding the measure angle of an angle outside the circle Helpful hint for when to add and when to subtract the inside and outside arcs Sample problem finding the arc measure with step by step directions Sample problem- finding the arc measure