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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.
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