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

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 regular hexagon with a side length of 6 cm?

Back

Area = (3√3/2) * (side length)² = 93.53 cm².

Front

What is the area of a regular octagon with a side length of 5 m?

Back

Area = 2(1 + √2) * (side length)² = 80.5 m².

Front

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

Back

The apothem is used in the area formula, linking the polygon's side length and its height.

Front

If a regular polygon has 10 sides, what is the measure of each interior angle?

Back

Each interior angle = (n-2) * 180° / n = 144°.

Front

What is the area of a regular dodecagon (12 sides) with a side length of 4 cm?

Back

Area = 3 * (2 + √3) * (side length)² = 41.57 cm².

Front

How do you find the area of a shaded region in a polygon?

Back

Subtract the area of the unshaded part from the total area of the polygon.

Front

What is the area of a regular pentagon with an apothem of 7 cm and a side length of 6 cm?

Back

Area = (1/2) * Perimeter * Apothem = 105 cm².