Properties of Regular Polygons

This video tutorial explains how to find angle measures in regular polygons, focusing on key concepts such as the circumscribed circle, center, radius, apothem, and central angle. It provides definitions and examples, including a detailed walkthrough of calculating angles in a regular pentagon.

What is the primary focus of the video tutorial?

• Finding angle measures in regular polygons

• Calculating the area of circles

• Understanding the properties of triangles

• Learning about different types of quadrilaterals

What is the center of a regular polygon also the center of?

• The circumscribed circle

• The inner rectangle

• The inscribed triangle

• The outer square

What does the radius of a regular polygon connect?

• The center to a vertex

• The center to the midpoint of a side

• Two opposite sides

• Two adjacent vertices

What is the apothem in a regular polygon?

• The length of a side

• The distance between two vertices

• The distance from the center to a side

• The height of the polygon

How is the central angle of a regular polygon calculated?

• By subtracting the exterior angles

• By adding the interior angles

• By multiplying the number of sides by 180°

• By dividing 360° by the number of sides

In the example, what shape is inscribed in the circumscribed circle?

• A regular triangle

• A regular pentagon

• A regular octagon

• A regular hexagon

What is the central angle of a regular pentagon?

• 72°

• 108°

• 60°

• 90°

What is the measure of the angle that bisects the central angle in a regular pentagon?

• 36°

• 45°

• 54°

• 60°

Using the Triangle Sum Theorem, what is the measure of the remaining angle in the triangle?

• 54°

• 72°

• 36°

• 90°