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?

Back

The perimeter is the total length of all the sides of the polygon.

Front

How do you calculate the area of a regular hexagon?

Back

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

Front

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

Back

Area = (1/4) * √(5(5 + 2√5)) * s² = 61.94 cm².

Front

How does the number of sides affect the area of a regular polygon?

Back

As the number of sides increases, the area of the polygon generally increases, assuming the side length remains constant.

Front

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

Back

The area of a regular polygon increases with the square of the side length.

Front

Find the area of a regular octagon with a side length of 4 cm.

Back

Area = 2(1 + √2) * s² = 32(1 + √2) cm².

Front

What is the area of a triangle with a base of 10 cm and height of 5 cm?

Back

Area = (1/2) * base * height = 25 cm².

Front

How do you find the area of a regular dodecagon?

Back

Area = 3 * s², where s is the side length.