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 a line from the center of a regular polygon that is perpendicular to one of its sides.

Front

How do you find the side length (s) of a regular polygon if you know the perimeter (P)?

Back

s = P/n, where n is the number of sides.

Front

What is the area of a regular hexagon with a side length of 7 cm?

Back

Area = (3√3/2) * s² = (3√3/2) * (7)² = 84 cm².

Front

If a regular polygon has a perimeter of 48 yards and is a hexagon, what is the length of each side?

Back

s = P/n = 48/6 = 8 yards.

Front

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

Back

Area = s² = 20² = 400 m².

Front

How do you calculate the area of a triangle?

Back

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

Front

What is the area of a regular heptagon with a side length of 26 mm and height of 20 mm for each triangle?

Back

Area = (7/2) * base * height = (7/2) * 26 * 20 = 1,820 mm².

Front

What is the relationship between the number of sides and 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 area of a regular polygon with 8 sides, each measuring 5 cm?

Back

Area = (1/2) * Perimeter * Apothem. First find the perimeter: P = 8 * 5 = 40 cm. Then use the apothem to find the area.