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Polygons in Geometry

Classifications | Formulas


Polygon Classifications

Polygons are classified according to their sides

No. of Sides Kind of Polygon No. of Sides Kind of Polygon
3 Triangle 7 Heptagon
4 Quadrilateral 8 Octagon
5 Pentagon 9 Nonagon
6 Hexagon 10 Decagon

 


Regular Polygon Formulas

Pentagon
Hexagon
Octagon
Perimeter
P=5R sqrt(10-2 sqrt[5])/2 P=6R

P=8R sqrt(2-sqrt[2])

Area
K=5a sqrt(4R2-a2)/4 K=3a sqrt(4R2-a2)/2

K=2a sqrt(4R2-a2)

Where: