Area of Regular Polygonswith exercises

Geometry Regular ProgramSY 2014-2015

Sources:

Discovering Geometry (2008) by Michael Serra

Geometry (2007) by Ron Larson

How do we get the area of regular polygons?

A regular polygon is equiangular and equilateral. A circle circumscribes the polygon.

Thus, a regular polygon has a center.Radii will divide the polygon into congruent triangles.

How do we get the area of regular polygons?

Let’s say that each side is s.

Determine the area of 1 triangle.

APOTHEM:Perpendicular segment from center of regular polygon to

side of polygon

How do we get the area of regular polygons?

Area of the polygon:

How do we get the area of regular polygons?

Area of regular polygon:

Solve for the unknowns.

Solve for the unknowns.

Solve for the unknowns.

Solve for the unknowns.

Solve for the unknowns.