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 that is perpendicular to one of its sides.

Front

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

Back

585.2 m².

Front

How do you calculate the perimeter of a regular polygon?

Back

Perimeter = Number of sides * Length of one side.

Front

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

Back

The apothem is shorter than the radius and is used to calculate the area.

Front

If a regular polygon has 8 sides, what is it called?

Back

An octagon.

Front

What is the area of a polygon with a base of 12 inches and a height of 10 inches?

Back

Area = 1/2 * base * height = 60 in².

Front

What is the measure of each interior angle of a regular hexagon?

Back

120°.

Front

How do you find the area of a triangle within a regular polygon?

Back

Area = 1/2 * base * height.

Front

What is the formula for finding the area of a regular pentagon?

Back

Area = (1/4) * √(5(5 + 2√5)) * s², where s is the side length.