![]() Here, n refers to the total number of sides that a polygon has The sum of all the interior angles of a polygon = (n – 2) x 180, The sum of all of the interior angles of a polygon is given as: The interior angle of a polygon is the angle that exists on the inside of a shape or on the inside of the polygon. A polygon has two types of angles which are as given below: To measure each of the exterior angles of a regular polygon having n sides = 360 o/n.Īns.The sum of all of the exterior angles of a polygon taken in order is equal to 3600.To measure each of the interior angles of a regular polygon with “n” sides = (n-2)180 o/n.To find the number of diagonals of a given polygon having “n” sides = (n-3)n/2. ![]() ![]() To find the sum of all the interior angles of a given polygon having “n” slides = (n - 2) x 180 o.Equilateral Triangle: A triangle with all sides of equal length is known as an equilateral triangle.Isosceles Triangle: A triangle having two equal sides and a side of different side lengths is an isosceles triangle.Scalene Triangle: A triangle having all three sides of different lengths is a scalene triangle.Further, these triangles can be classified into various categories such as: All the interior angles of a triangle give a sum of 1800. The different types of polygon based on their number of sides are as given below:Ī polygon that has three sides is known as a triangle. The corners at which these points meet are known as the vertex. The sides of a polygon are referred to as the straight lines that form these shapes. Read More: Pythagoras Theorem Types of Polygon Based on the Number of Sides When a convex polygon is extended, none of its sides goes inside it and its vertices are always in an outward direction. When a concave polygon is extended, some sides of it go inside the polygon.Ī polygon whose interior angles are less than a straight angle is known as a convex polygon. On the basis of their interior angles, polygons can be classified as:Ī polygon having at least one of its angles more than 1800 is known as a concave polygon. Regular and Irregular Polygons Types of Polygon Based on Their Interior Angles For example, square and equilateral triangles.Ī polygon having variable side lengths is referred to as an irregular polygon. A regular polygon is both equilateral and equiangular. Types of Polygon on the basis of their side lengthĪccording to their side length, polygons can be classified as:Ī polygon having all sides of the same length is referred to as a regular polygon. Example: Square and Equilateral Triangle. Example: Rhombus, Square, Equilateral Triangle.Ī polygon with all angles equal is known as an equiangular polygon. On the basis of the sides and vertices of a polygon, they are further classified into many types as we will see below.Ī polygon having all equal sides is known as an equilateral polygon. The video below explains this: Types of Polygons Detailed Video Explanation: A polygon will have the same number of vertices and sides. The vertex of a polygon refers to the points or corners where the two line segments or sides of polygons intersect each other. Three minimum line segments or sides are needed to make any closed figure. A polygon can be understood as a rectilinear shape that has three or more sides.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |