Recall that in a circle, an [b]INSCRIBED ANGLE[/b] is an angle whose vertex lies on the circle and has rays that intersect the circle at two distinct points. [br][br]In the applet below, the [color=#1551b5]blue angle is an INSCRIBED ANGLE[/color] that intercepts the [color=#c51414]red arc[/color].[br]The [color=#c51414]red angle is a central angle[/color] (of the circle) that also intercepts the same [color=#c51414]red arc[/color]. [br]In fact, this applet was designed so that both the [color=#1551b5]inscribed angle[/color] and [color=#c51414]central angle[/color] always intercept the same [color=#c51414]red arc[/color]. [br][br]1) Drag the [color=#0a971e]green slider[/color] all the way to the right in the applet below and watch what happens. [br]2) Now drag the slider all the way back. Move any one or more of the [color=#1551b5]blue[/color] and/or [color=#c51414]red[/color] points around and repeat step (1).[br]3) Repeat step (2) as many times as desired. [br][br]Answer the questions that follow.

[b][color=#b20ea8]Questions:[/color][/b][br][br]1) How does the measure of any [color=#c51414]central angle[/color] of a circle compare with the measure of its [color=#c51414]intercepted arc[/color]? [br]2) According to what you've observed in the applet above, how does the measure of the [color=#1551b5]inscribed angle[/color] compare with the measure of the [color=#c51414]central angle[/color] (that intercepts the same [color=#c51414]arc[/color]?) [br]3) Use your results from (1) and (2) to describe how one could find the measure of an [color=#1551b5]inscribed angle[/color] given the measure of the [color=#c51414]arc it intercepts[/color].