Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.

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Presentation transcript:

Area of Regular Polygons with exercises Geometry Regular Program SY 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.