Angles Inside, Outside, and On Circle

Angles INSIDE of Circle
Part 1: Use the applet above to investigate the measure of an angle formed INSIDE a circle.
Move point C so that it lies somewhere INSIDE your circle (but is not at the center of the circle).[br][br]Using the calculated measure of the angle the the calculated measures of the intercepted arcs, hypothesis a formula for finding the measure of any angle INSIDE a circle.[br][br]Move point C again to test your formula.
How would you calculate the measure of an angle formed INSIDE a cirlce?
Write a formula to calculate the measure of INSIDE Angle A, with intercepted arcs BC and DF.
Angles OUTSIDE of Circle
Part 2: Use the applet above to investigate the measure of an angle formed OUTSIDE a circle.
Move point C so that it lies somewhere OUTSIDE your circle (but is not at the center of the circle).[br][br]Using the calculated measure of the angle the the calculated measures of the intercepted arcs, hypothesis a formula for finding the measure of any angle INSIDE a circle.[br][br]Move point C again to test your formula.
How would you calculate the measure of an angle formed OUTSIDE a circle?
Write a formula to calculate the measure of OUTSIDE Angle A, with intercepted arcs BC and DF.
Angle On Circle
Part 3: Use the applet to investigate the meausure of an angle formed ON a circle.
Using the calculated measure of the angles the the calculated measures of their intercepted arcs, hypothesis a formula for finding the measure of any angle ON a circle.[br][br]Move point C again to test your formula.
How would you calculate the measure of an angle formed ON a circle?
Write a formula to calculate the measure of ON Angle CDF, with intercepted arc CD.[br][br]What angle formula does this remind you of?
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