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.

Tags

CCSS.6.G.A.1

Front

What is a regular polygon?

Back

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

Tags

CCSS.2.G.A.1

Front

How do you find the perimeter of a regular polygon?

Back

Perimeter = Number of sides * Length of one side.

Tags

CCSS.3.MD.D.8

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.

Tags

CCSS.HSG.C.A.2

Front

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

Back

Central Angle = 360° / Number of sides.

Tags

CCSS.HSG.C.A.2

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.

Tags

CCSS.6.G.A.1

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.

Tags

CCSS.6.G.A.1

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.

Tags

CCSS.6.G.A.1