Apothem and Area of Polygons

The video tutorial covers the area of regular polygons, focusing on key terms like radius and apothem. It explains the role of special right triangles in these polygons and provides methods for calculating their area. The tutorial includes examples to illustrate these concepts, emphasizing the importance of understanding the relationships between the radius, apothem, and side lengths in various polygon shapes.

What is the term used for the line from a vertex to the center of a regular polygon?

• Radius

• Apothem

• Chord

• Diameter

Which of the following best describes an apothem?

• A line from the center to a vertex

• A line from the center to the midpoint of a side

• A line from the center to the circumference

• A line from one vertex to another

In a 30-60-90 triangle, what is the relationship between the hypotenuse and the short leg?

• The hypotenuse is three times the short leg

• The hypotenuse is half the short leg

• The hypotenuse is equal to the short leg

• The hypotenuse is twice the short leg

What is the central angle of a hexagon?

• 180 degrees

• 60 degrees

• 120 degrees

• 90 degrees

In a 45-45-90 triangle, how does the hypotenuse compare to the legs?

• The hypotenuse is twice the legs

• The hypotenuse is half the legs

• The hypotenuse is root two times the legs

• The hypotenuse is equal to the legs

What is the relationship between the radius and the apothem in a 30-60-90 triangle?

• The radius is twice the apothem

• The radius is half the apothem

• The radius is equal to the apothem

• The radius is three times the apothem

What is the central angle of a regular polygon with 6 sides?

• 120 degrees

• 30 degrees

• 60 degrees

• 90 degrees

In a regular hexagon, what is the relationship between the radius and the apothem?

• The radius is equal to the apothem

• The radius is twice the apothem

• The radius is root three times the apothem

• The radius is half the apothem

What is the relationship between the sides in a 45-45-90 triangle?

• The sides are equal

• One side is twice the other

• One side is half the other

• The sides are root two times each other

What is the central angle of a regular polygon with 3 sides?

• 180 degrees

• 60 degrees

• 90 degrees

• 120 degrees