Area of Regular Polygons HOMEWORK

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

How do you calculate the perimeter of a regular polygon?

Back

Perimeter = Number of sides * Length of one side.

Front

What is a regular octagon?

Back

A regular octagon is a polygon with 8 equal sides and 8 equal angles.

Front

Calculate the area of a regular triangle with side length 48.5 m and apothem 14 m.

Back

Area = 1018.5

Front

What is the area of a regular heptagon with side length 21 cm and apothem 21.8 cm?

Back

Area = 1602.3

Front

What is the area of a regular nonagon?

Back

Area = 891 (units not specified).

Front

What is the area of a regular pentagon?

Back

Area = 15 in².

Front

What is the significance of the apothem in calculating the area of a regular polygon?

Back

The apothem helps in determining the area by providing the height from the center to the base of the triangle formed by the polygon's sides.

Front

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

Back

Generally, as the number of sides increases, the area of the polygon increases, assuming the side length remains constant.