Constructing Regular Polygons Inscribed in Circles

Explanation

A regular polygon has all sides and angles equal. When inscribed in a circle:

• Each vertex lies on the circle

• The circle is called the circumcircle

• Central angles divide the circle evenly

Example:

• A regular hexagon divides the circle into six 60° arcs

Quiz (5 Questions)

1. What is a regular polygon?

2. What is the circle around an inscribed polygon called?

3. How many sides does a regular octagon have?

4. What is the central angle of a regular pentagon?

5. True or False: All regular polygons can be inscribed in a circle.

Answer Key

1. All sides and angles are equal

2. Circumcircle

3. 8

4. 72°

5. True