Area of Regular Polygons

Front

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

Back

Area = (1/2) * Perimeter * Apothem

Front

Define 'apothem' in the context of regular polygons.

Back

An apothem is a line from the center of a regular polygon at right angles to any of its sides.

Front

What is a regular polygon?

Back

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

Front

How do you calculate the perimeter of a regular polygon?

Back

Perimeter = Number of sides * Length of one side.

Front

What is the area of a regular hexagon with a side length of 10 meters?

Back

Area = (3√3/2) * (side length)² = 259.8 m².

Front

What is the area of a regular octagon with an apothem of 13.3 meters and a side length of 11 meters?

Back

Area = (1/2) * Perimeter * Apothem = 585.2 m².

Front

If a regular polygon has 5 sides, what is it called?

Back

A pentagon.

Front

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

Back

The apothem is the shortest distance from the center to a side, while the radius is the distance from the center to a vertex.

Front

Calculate the area of a regular dodecagon (12 sides) with a side length of 6 cm.

Back

Area = 3 * (2 + √3) * (side length)² = 155.9 cm².

Front

What is the area of a regular polygon with a perimeter of 40 m and an apothem of 5 m?

Back

Area = (1/2) * Perimeter * Apothem = 100 m².