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

The apothem is the distance from the center of a regular polygon to the midpoint of one of its sides.

Front

What is the perimeter of a regular polygon with 'n' sides, each of length 's'?

Back

Perimeter = n * s

Front

How do you calculate the area of a regular hexagon?

Back

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

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

If the side length of a regular polygon is doubled, how does the area change?

Back

The area increases by a factor of four.

Front

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

Back

Area = 25√3 ≈ 43.3 square units.

Front

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

Back

The apothem is used in the area formula, linking the polygon's side length and perimeter.

Front

Find the area of a regular pentagon with a side length of 8 units and an apothem of 6.9 units.

Back

Area = (1/2) * Perimeter * Apothem = (1/2) * (5 * 8) * 6.9 = 138 square units.

Front

What is the area of a regular polygon with 12 sides, each of length 5 units, and an apothem of 6 units?

Back

Area = (1/2) * Perimeter * Apothem = (1/2) * (12 * 5) * 6 = 180 square units.