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 the apothem of a polygon?

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 find 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 4 cm?

Back

Area = (3√3/2) * (side length)² = 3√3 * 8 = 24√3 cm².

Front

What is the area of a regular pentagon with a side length of 5 cm?

Back

Area = (5/4) * √(5(5 + 2√5)) * (side length)² = (5/4) * √(5(5 + 2√5)) * 25.

Front

How do you calculate the area of a regular octagon?

Back

Area = 2(1 + √2) * (side length)².

Front

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

Back

As the side length increases, the area of the polygon increases.

Front

Find the area of a regular hexagon with a perimeter of 48 yards.

Back

Area = 166.3 yards².

Front

What is the area of a regular triangle with a side length of 6 cm?

Back

Area = (√3/4) * (side length)² = (√3/4) * 36 = 9√3 cm².