# Central Angle Exploration

- Author:
- justin.brennan

- Topic:
- Angles

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

*n*.? 2) If there are 20 sides, what is the measure of the central angle? 3) If the central angle is 12 degrees, how many sides does the regular polygon have?