Friday, May 25, 2007

Regular Polygons

A regular polygon is when all the side lengths and angles are the same and don't intersect each other.
Equilateral Triangle

Number of sides = 3:
Number of vertices = 3:
Interior angle = 60°:
Exterior angle = 120°:
Exterior angle multiplied by the number of sides = 360°:
Number of sides = number of vertices:



Cube
Number of sides = 4:
Number of vertices = 4:
Interior angle = 90°:
Exterior angle = 90°:
Exterior angle multiplied by the number of sides = 360°. (90°X4=360°):
Number of sides = number of vertices:






Pentagon
Number of sides = 5:
Number of vertices = 5:
Interior angle = 108°:
Exterior angle = 72°:
Exterior angle multiplied by the number of sides = 360°. (72° X 5 = 360°):
Number of sides = number of vertices:











Hexagon

Number of sides = 6:
Number of vertices = 6:
Interior angle = 120°:
Exterior angle = 60°:
Exterior angle multiplied by the number of sides = 360°. (60° X 6 = 360°):
Number of sides = number of vertices:










Heptagon
Number of sides/verticies = 7
Interior angle = 128.57
Exterior angle = 51.53















Octagon
Number of sides/verticies = 8
Interior angle = 135
Exterior angle = 45
















Nonagon
Number of sides/verticies = 9
Interior angle = 140
Exterior angle = 40













Decagon

Number of sides/verticies = 10
Interior angle = 144
Exterior angle = 36

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