Area of Regular polygons using special right triangles

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height

Front

What is the apothem of a regular polygon?

Back

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

Front

How do you calculate the area of a regular polygon?

Back

Area = (Perimeter * Apothem) / 2

Front

What is the area of a square with side length 's'?

Back

Area = s^2

Front

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

Back

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

Front

What is the area of a regular pentagon with a side length of 's'?

Back

Area = (5/4) * s^2 * (1/tan(π/5))

Front

What is the area of a triangle with a base of 9 in and a height of 6 in?

Back

Area = 1/2 * 9 * 6 = 27 in²

Front

What is the area of a regular hexagon with a perimeter of 60 ft?

Back

Area = (Perimeter^2 * √3) / 12 = 150√3 ft²

Front

What is the area of a square with a side length of 20 m?

Back

Area = 20^2 = 400 m²

Front

What is the area of a triangle with a base of 12 cm and a height of 8 cm?

Back

Area = 1/2 * 12 * 8 = 48 cm²