Areas 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

What is the perimeter of a regular polygon?

Back

The perimeter is the total distance around the polygon, calculated as the number of sides multiplied by the length of one side.

Front

How do you calculate the area of a hexagon?

Back

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

Front

What is the central angle of a regular polygon?

Back

The central angle is the angle formed at the center of the polygon by two adjacent vertices, calculated as 360° divided by the number of sides.

Front

If a regular polygon has 8 sides, what is the measure of each interior angle?

Back

Each interior angle = (n-2) * 180° / n = (8-2) * 180° / 8 = 135°.

Front

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

Back

The apothem is shorter than the radius and can be calculated using trigonometric functions based on the central angle.

Front

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

Back

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

Front

What is the significance of the apothem in calculating the area of a regular polygon?

Back

The apothem is crucial for calculating the area as it helps relate the perimeter to the area.

Front

What is the formula for the area of a triangle?

Back

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