Area of Regular Polygons

Front

What is the definition of a regular polygon?

Back

A regular polygon is a polygon with all sides and all angles equal.

Front

What is the formula for the area of a regular polygon?

Back

Area = (1/2) × Perimeter × Apothem.

Front

What is an apothem in 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 perimeter of a regular polygon?

Back

Perimeter = Number of sides × Length of one side.

Front

What does 'n' represent in the area formula for a regular polygon?

Back

'n' represents the number of sides of the polygon.

Front

If a regular polygon has an apothem of 6 cm and a perimeter of 24 cm, what is its area?

Back

Area = (1/2) × 24 cm × 6 cm = 72 cm².

Front

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

Back

The apothem is used in the area formula, showing that a larger apothem increases the area.

Front

What is the significance of the base in the area formula for trapezoids?

Back

The base represents the lengths of the two parallel sides used to calculate the area.

Front

How do you find the area of a regular hexagon?

Back

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

Front

What is the formula for the area of a triangle?

Back

Area = (1/2) × base × height.