[b][color=#ff00ff]The PINK ANGLE is said to be an INSCRIBED ANGLE[/color][/b] of a circle. [br][br]You can move the pink point anywhere on the NON-BLUE arc of the circle. [br][color=#0000ff][b]You can change the size of the BLUE intercepted arc[/b][/color] by moving either of the white points. [br]You can also adjust the circle's radius using the [color=#666666][b]GRAY POINT[/b][/color]. [br][br]Answer the questions that follow.
Without looking up the definition on another tab in your internet browser, [b][color=#ff00ff]how would you describe (define) the concept of an inscribed angle of a circle? [/color][/b]
[b][color=#ff00ff]How many inscribed angles[/color][/b] fit inside the [b][color=#0000ff]blue central angle[/color][/b] that intercepts (cuts off) the [b][color=#0000ff]same arc[/color][/b]?
Given your result for (2), how does the [b][color=#ff00ff]measure of the pink inscribed angle[/color][/b] compare with the [color=#0000ff][b]measure of the blue intercepted arc? [/b][/color]
Try testing your informal conclusions for (responses to) (2) and (3) a few times by dragging the slider back to its starting position, [b][color=#ff00ff]changing the location of the pink inscribed angle[/color][/b], and [b][color=#0000ff]changing the size of the blue intercepted arc[/color][/b]. [br][br]Then slide the slider again. [br][b][br]Do your conclusions for (2) and (3) ALWAYS hold true? [/b]