Regular Polygon Shape

There are various regular polygons, such as equilateral triangles, squares, regular pentagons, etc. There can be any number of regular polygons based on the number of sides they have. If it has three sides, it is an equilateral triangle. If it has four sides, it is a square. If it has five sides, it is a regular pentagon, and so on. Let’s discuss these individual shapes as follows:

Regular Polygon

Regular polygons are closed two-dimensional planar figures constructed entirely of straight lines. In contrast to a regular polygon, which is made up of solely straight lines of equal length, an irregular polygon has varied sides and angles. Polygons are two-dimensional geometric shapes with a fixed number of sides.

The sides or edges of a polygon are formed by linking end-to-end segments of a straight line to form a closed shape. The intersection of two line segments that result in an angle is referred to as a vertex or corner. A polygon is referred to be a regular polygon if its sides are congruent.

Table of Content

  • Regular Polygon Definition
  • Equilateral Triangle
  • Square
  • Regular Pentagon
  • Regular Hexagon
  • Regular Heptagon
  • Regular Octagon
  • Properties of Regular Polygons
  • Formulas for Regular Polygons

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Regular Polygon Definition

Regular polygons have the same number of sides and interior angles. Squares, rhombuses, equilateral triangles, and other shapes serve as cases of regular polygons. Regular polygons have both congruent angles and congruent sides. They are equiangular, according to that....

Regular Polygon Shape

There are various regular polygons, such as equilateral triangles, squares, regular pentagons, etc. There can be any number of regular polygons based on the number of sides they have. If it has three sides, it is an equilateral triangle. If it has four sides, it is a square. If it has five sides, it is a regular pentagon, and so on. Let’s discuss these individual shapes as follows:...

Equilateral Triangle

The regular polygon with the smallest possible number of sides is Equilateral Triangle....

Square

A 4-sided regular polygon, or square, is a quadrilateral with four equal sides....

Regular Pentagon

A regular Pentagon is a Pentagon or 5-gon with equal sides that are shown in the following diagram:...

Regular Hexagon

Hexagons are six-sided polygons, and when all of their sides are equal, they are referred to as regular hexagons....

Regular Heptagon

A Heptagon is a seven-sided polygon with equal sides and angles, they are referred to as regular heptagons....

Regular Octagon

An eight-sided polygon with equal sides and angles is called a regular octagon....

Properties of Regular Polygons

The general properties of the Regular Polygons are discussed below,...

Formulas for Regular Polygons

Regular polygons are two-dimensional closed figures with finite straight lines, as we have explained. It is made up of straight lines that join. The formulas used in a regular polygon are listed below....

Irregular Polygon Vs Regular Polygon

Regular polygons provide symmetrical forms like squares, triangles, and pentagons because their sides and angles are equal. Their consistency makes them simple to recognize. Contrarily, irregular polygons are less predictable and more difficult to categorize since their sides and angles have various lengths and measurements, resulting in asymmetrical forms. The image added below shows the regular polygon and the irregular polygon....

Solved Examples on Regular Polygons

Example 1: If a polygon has 40 external angles, then the number of sides it has,...

FAQs on Regular Polygons

What is a Regular Polygon?...

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