Central, Inscribed, and Circumscribed Angles

Move [b][color=#ff7700]points A[/color] [/b]and[b] [color=#ff7700]D[/color][/b]. Observe how the [b][color=#ff0000]central angle[/color][/b], [color=#0000ff][b]inscribed angle[/b][/color], and [color=#38761d][b]circumscribed angle[/b][/color] change.[br][br][b]What relationships do you notice between these angles and the intercepted arcs?[/b]

Information: Central, Inscribed, and Circumscribed Angles