Recall that the measure of an [color=#0a971e]arc[/color] of a circle is the same as the measure of its corresponding [color=#0a971e]central angle[/color]. (See applet.) [br][br][b]Definition[/b]: An [color=#b20ea8][b]INSCRIBED ANGLE[/b][/color] of a circle is an angle whose vertex lies on the circle and has each of its rays intersect the circle at one other point. (Click checkbox to show [color=#b20ea8]inscribed angle[/color].) [br][br]Notice how both the [color=#b20ea8]inscribed angle[/color] and [color=#0a971e]central angle[/color] both intercept the same [color=#0a971e]arc[/color]. [br][br]Click on the [color=#c51414]CHECK THIS OUT !!![/color] checkbox that appears afterwards. Be sure to move points [color=#1551b5]A[/color], [color=#1551b5]B[/color], and the [color=#b20ea8]pink vertex[/color] of the [color=#b20ea8]inscribed angle[/color] around. (You can also change the radius of the circle if you wish.)[br][br][b]In a circle, what is the relationship between the measure of an [color=#b20ea8]inscribed angle[/color] with respect to the measure of its [color=#0a971e]intercepted arc[/color]? [/b]

Key directions and question are located above the applet.