The goal of this activity is to determine the relationship (and ultimately the equation) between the number of sides of a regular polygon and the measure of the central angle.

1) What is the formula to determine the measure of a central angle of a regular polygon if the number of sides is [i]n[/i].[b][/b]?[br][br]2) If there are 20 sides, what is the measure of the central angle?[br][br]3) If the central angle is 12 degrees, how many sides does the regular polygon have?