Areas 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

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 square with a side length of 10 m?

Back

Area = 10 m * 10 m = 100 m².

Front

If a regular hexagon has a side length of 6 cm, what is its area?

Back

Area = (3√3/2) * (side length)² = (3√3/2) * (6 cm)² = 54√3 cm².

Front

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

Back

The area can be calculated using the apothem and the perimeter: Area = (1/2) * Perimeter * Apothem.

Front

Find the area of a regular pentagon with a side length of 5 cm and an apothem of 4.5 cm.

Back

Area = (1/2) * Perimeter * Apothem = (1/2) * (5 cm * 5) * 4.5 cm = 56.25 cm².

Front

What is the area of a triangle with a base of 8 m and a height of 5 m?

Back

Area = (1/2) * base * height = (1/2) * 8 m * 5 m = 20 m².

Front

How do you find the area of a regular octagon?

Back

Area = 2 * (1 + √2) * (side length)².

Front

What is the area of a rectangle with a length of 12 m and a width of 4 m?

Back

Area = length * width = 12 m * 4 m = 48 m².