Regular Polygon – Definition with Examples

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What is a Regular Polygon?

2-dimensional enclosed figure made by joining 3 or more straight lines is called a polygon. Polygons are also known as ‘flat figures’. 

polygon and non-polygon

            Polygon                                    Not a Polygon                                Not a Polygon       (straight sides)                               (has a curve)                              (open, not closed) A polygon having equal sides and equal angles is a regular polygon.

Parts of a Regular Polygon 

A regular polygon has three parts: 

parts of a regular polygon

The interior angle is the angle formed within the enclosed surface of the polygon by joining the sides. 


Different Regular Polygons 

The names of the regular polygons come from the number of sides they have.  

 Name Figure Sides Interior Angle
 Equilateral triangleequilateral triangle 3 equal sides Each angle is 60°
 Squaresquare 4 equal sides Each angle is 90°
 Pentagonpentagon 5 equal sides Each angle is 108°
 Hexagonhexagon 6 equal sides Each angle is 120°
 Heptagonheptagon 7 equal sides Each angle is 128.57°
 Octagonoctagon 8 equal sides Each angle is 135°

Fun Facts about Polygon
– A circle is a regular 2D shape but it is not a polygon because it does not have any straight sides. Each angle of a regular polygon can be calculated by the
given formula:image8                                             
where n is the number of sides in the regular polygon.

Regular Polygon – Definition with Examples

Shapes

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Regular Polygon – Definition with Examples

Angles

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Regular Polygon – Definition with Examples

Parallel and Perpendicular Lines

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