Area of Regular Polygons

Front

What is the formula for the area of a regular polygon?

Back

Area = (1/2) * Perimeter * Apothem

Front

Define a regular polygon.

Back

A regular polygon is a polygon with all sides and angles equal.

Front

What is an apothem in a regular polygon?

Back

The apothem is the line from the center to the midpoint of one of its sides.

Front

What is the radius of a regular polygon?

Back

The radius is the line from the center to a vertex of the polygon.

Front

How do you calculate the perimeter of a regular polygon?

Back

Perimeter = Number of sides * Length of one side.

Front

What is a central angle in a regular polygon?

Back

The central angle is the angle formed at the center of the polygon by two adjacent vertices.

Front

How do you find the area of a regular hexagon?

Back

Area = (3√3/2) * s², where s is the length of a side.

Front

What is the relationship between the apothem and the area of a regular polygon?

Back

The area can be calculated using the apothem and the perimeter: Area = (1/2) * Perimeter * Apothem.

Front

What is the area of a regular pentagon with a side length of 6 units?

Back

Area = (1/4) * √(5(5 + 2√5)) * s² = 61.62 square units.

Front

What is the area of a regular octagon with a side length of 4 units?

Back

Area = 2(1 + √2) * s² = 32.00 square units.