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Maths

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polygons


Polygons are 2-dimensional shapes which can exist in the Euclidean plane. They are made of straight lines, and the shape is "closed" (all the lines connect up).

Types of Polygons


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Regular polygon: A regular polygon has all angles equal and all sides equal.

Irregular polygon: A irregular polygon has all angles and sides equal.

Convex polygon: A convex polygon has all angles are less than 180° or no angles pointing inwards.

Concave polygon: If any internal angle is greater than 180° then the polygon is concave polygon.

Simple polygon: A simple polygon has only one boundary, and it doesn't cross over itself.

Complex polygon: A complex polygon intersects itself! Many rules about polygons don't work when it is complex.

Names of Polygons

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General Maths on any Polygon




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  • Interior Angle + Exterior Angle = 180°

  • Sum of  Exterior Angle = 360°

  • Sum of Interior Angle = (n - 2) 180°

  • Diagonal of an n' sided polygon = n (n - 3)/2

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