Area of Regular Polygons

Front

What is the apothem of a regular polygon?

Back

The apothem is the line segment from the center of the polygon perpendicular to one of its sides.

Front

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

Back

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

Front

What is a regular polygon?

Back

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

Front

How do you find the perimeter of a regular polygon?

Back

Perimeter = Number of sides * Length of one 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.

Front

How do you calculate the central angle of a regular polygon?

Back

Central Angle = 360° / Number of sides.

Front

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

Back

The radius is the distance from the center to a vertex, while the apothem is the distance from the center to the midpoint of a side.

Front

What is the area of a regular hexagon with a side length of 5 units?

Back

Area = (3√3/2) * (side length)² = (3√3/2) * 25 = 64.95 units².

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 in determining the height of the triangles formed by dividing the polygon.

Front

If a regular pentagon has a side length of 6 units, what is its area?

Back

Area = (1/2) * Perimeter * Apothem. First, find the perimeter (5 sides * 6 units = 30 units) and then the apothem.