Irregular Polygon Definition

In Geometry, all closed 2D shapes (except circles) are called Irregular Polygons if they don’t have equal sides and measures of angles. It means an irregular polygon is a shape that has sides and angles of different measures.

Note:

Read about Geometry and Angles here.

Examples of irregular polygons

What is the opposite of an irregular polygon?

Like an irregular polygon, there is another specific term used for the shapes opposite to them which is Regular polygon. In this type of polygon, the lengths of all sides and measures of all angles are the same

Note:

Read about Regular Polygons here.

How to identify if a polygon is regular or irregular?

To check if a polygon can be termed an irregular polygon or not, you need to perform two checks i.e. length and angle measurements. If the lengths of all sides or measures of all angles are not the same, it means the polygon is irregular. Otherwise, the polygon will be regular which means the same, proper, and regulated.

Can we solve an irregular polygon?

Yes, like all other closed shapes like a circle, square, triangle, and rectangle, we can solve an irregular polygon. We can find the Area of an irregular polygon and the Perimeter of the given irregular polygon.

Note:

Read about Circle, Square, Triangle, and Rectangle here.

The formula and method to calculate depending on the number of sides, angles, and shape of the polygon.

Types of irregular polygons

Depending on the shapes of the polygons, there are two major types of polygons. Let us show you those types here briefly.

  • Concave irregular polygon: If an irregular polygon has one interior angle of measure more than 180 degrees, it will be called a Concave irregular polygon.
  • Convex irregular polygon: If the measure of all interior angles of an irregular polygon is less than 180 degrees, it will be called a Convex irregular polygon.

FAQ's

What is an irregular polygon

All those polygons that have sides and angles of different measures will be called irregular polygons.

Can we find the area of an irregular polygon?

Yes, we can find the Area and Perimeter of an irregular polygon using a specific formula depending on its shape and angles.

What are the conditions to check the irregularity of a polygon?

If a polygon fulfills the following conditions, it will be called an irregular polygon.

  • Different lengths of all sides
  • Different measures of angles

What is the main difference between regular and irregular polygons?

The major difference between a regular and irregular polygon is the different lengths of sides and measures of angles.

Name three common examples of irregular polygons.

  • Scalene triangle
  • Isosceles triangle
  • Rectangle