Note on Regular and Irregular Polygons

-->

Polygons:

In this lesson let me help you go through on regular and irregular polygon.

A simple closed figure bounded by three or more lines segments is called a polygon.

The line segments forming a polygon are called its sides. Polygons are named according to number of sides they possess.

Regular Polygon:

A polygon having all sides equal and all angles equal is called a Regular Polygon.

Examples: (i) An equilateral triangle is a regular polygon of 3 sides.

(ii) A square is a regular polygon of 4 sides.

Properties of a Regular Polygon:

1. In a regular polygon all interior angles are equal

2. In a regular polygon all exterior angles are equal.

3. A circle can be circumscribed about every regular polygon.

A circle can be inscribed in every regular polygon.

Irregular Polygon:

A polygon that is not a regular polygon , that is a polygon whose sides are not all the same length or whose angles are not of the same measure is called an Irregular Polygon

Perimeter of an Irregular Polygon:

The sum of all the sides’ lengths is called its perimeter.

Area:

There is no easy formula for the area of an irregular figure, we convert an irregular polygon to simple polygons and find the individual areas and the sum of the individual areas gives the area of the irregular polygon.