Area of Regular Polygons & SAS Triangles

Front

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

Back

Area = (Perimeter × Apothem) / 2

Tags

CCSS.6.G.A.1

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

What is the area of a triangle given its base and height?

Back

Area = (Base × Height) / 2

Tags

CCSS.6.G.A.1

Front

How do you calculate the perimeter of a regular polygon?

Back

Perimeter = Number of sides × Length of one side.

Tags

CCSS.3.MD.D.8

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

What is the area of a regular nonagon with a perimeter of 90 cm and an apothem of 13.7 cm?

Back

Area = (90 × 13.7) / 2 = 616.5 cm².

Tags

CCSS.6.G.A.1

Front

What is the area of a regular decagon with a radius of 5 cm?

Back

Area = (5 × 5 × 2.5) = 73.5 cm².

Tags

CCSS.6.G.A.1

Front

What is the significance of the radius in regular polygons?

Back

The radius is the distance from the center to any vertex of the polygon.

Front

How do you find the area of a triangle using the SAS (Side-Angle-Side) method?

Back

Area = 1/2 × a × b × sin(C), where a and b are two sides and C is the included angle.

Tags

CCSS.HSG.SRT.D.9

Front

What is the relationship between the apothem and the radius in regular polygons?

Back

The apothem is shorter than the radius and is perpendicular to the side of the polygon.