Regular and irregular polygon definition

A two-dimensional enclosed figure made by joining three or more straight lines is known as a polygon.

A polygon is a two-dimensional geometric shape with a finite number of sides. Polygons are divided into two categories b ased on these sides: regular and irregular polygons. In this lesson, we are going to study about regular and irregular polygons. Read More Read Less. A two-dimensional closed shape made up of line segments is called a polygon.

Regular and irregular polygon definition

Based on their sides, all polygons are broadly classified into two groups: regular and irregular. Here we will discuss them one after the other. A regular polygon is a two-dimensional shape having all sides of equal length and all interior angles of equal measure. Thus sides and angles are the two parts of a regular polygon that are always congruent. They are thus both equilateral and equiangular. A regular polygon can be both convex and concave. As we know, a polygon is any shape having three or more sides, a regular polygon can be made of any number of sides. Interior angles are the angles that are formed inside the polygon at its corners when the line segments join in an end to end fashion. Here, we will discuss about how to find the measure of the sum of the interior angles in any n -sided regular polygon and also how to find the individual angles. It is the total measure of all the interior angles combined in the polygon.

Since in a regular polygon all the sides are equal, knowing the sum of all the interior angles we can easily determine the measure of any one angle by simply dividing the sum with the number of sides present in the polygon.

Regular polygons have sides that are the same length and have the same number of interior angles. Irregular polygons are those that don't have regular sides or interior angles. A polygon is a two-dimensional geometry with at least three straight sides that intersect to form interior angles. They appear frequently in the world around us. As a result, it has three sides.

We know that a polygon is a two-dimensional enclosed figure made by joining three or more straight lines. A regular polygon is a type of a polygon that has equal sides and all interior angles of equal measure. If any one of the conditions is not met, it becomes an irregular polygon. Check out the irregular polygon shapes based on three conditions. Note that non-polygon shapes are the shapes that do not fulfill the criterion of a polygon. For example: Circle. Irregular polygons are polygons that do not have equal sides and equal angles. Common examples of irregular polygons are a scalene triangle, kite, rectangle. The image below shows the difference between a regular hexagon and an irregular hexagon. A polygon is said to be an irregular polygon or non-regular polygon if all the sides are not equal in length and and all the interior angles may not be of equal measure.

Regular and irregular polygon definition

Logan has been tracing street signs around his city. He is preparing to trace the above street sign. He outlines the shape and he draws the round edges as straight lines. Will the resulting shape be a regular or irregular polygon , and what type of polygon will it be? In this concept, you will learn how to determine if a polygon is regular or irregular. A polygon can have a certain number of sides, but the sides do not necessarily have to be the same length. Both of the polygons below are pentagons because they both have five angles and sides, but look at the differences.

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A regular pentagon is a two-dimensional closed shape that has all its five sides equal in length and all the five angles are equal in measure. When the angles and sides of a pentagon and hexagon are not equal, these two shapes are considered irregular polygons. Is it true that polygons play a vital role in our daily lives? What differentiates regular polygons from irregular ones? Yes, it is, as it is a closed figure made of line segments. It is possible to have two or three sides of an irregular pentagon equal in length but not all the sides are equal to each other. We can find the area of a triangle, provided that the base and height is known, by the formula:. United States. An irregular hexagon or a non regular hexagon has six unequal sides. Share Share Share Call Us. Is a square a regular polygon? Download SSC Notes. Find the apothem of a regular n-sided polygon having an area of What is the difference between a regular and an irregular polygon?

Irregular polygons are those types of polygons that do not have equal sides and equal angles.

Trending Topics. For example, a rectangle is a four-sided polygon that has only opposite sides equal but the angles are all equal in measure. What is a four-sided polygon called? You walk on tiles that are squared in shape, implying that they are polygons. See the figure below. A scalene triangle, rectangle, trapezoid or a kite are common examples of irregular polygons. A regular polygon is one with equal lengths on all sides and identical angles at each vertex, whereas an irregu Learn more topics related to Mathematics. In the right triangle ABC, if the angle B is right angle, the angles A and B will be acute angles the sum of all angles of a triangle is degrees. Irregular polygons have a few properties of their own that distinguish the shape from the other polygons.