Tuesday, 1 August 2017

Learn Polygon Formula for Concave Polygons and Convex Polygons For SSC Exams

In this post, we will discuss the Important Polygon Formula to solve geometric questions asked on Concave Polygons and Convex Polygons for SSC Exams.


Polygon Formula

In competitive exams such as SSC Exams, there is at least one question that is based on polygons. Generally, the question asks us to find the number of sides that a polygon has. To solve such questions we need to have a firm grip on the concept of polygons. In this post, we will discuss the polygon formula and formulas for concave polygons and convex polygons. 


What is a polygon? 

A polygon is a closed figure which is bounded by straight lines. Any quadrilateral is also a polygon. 

For example, a circle is not a polygon since it is not bounded by straight lines, but a square is a polygon as it is bounded by straight lines. 

Polygon Formula

Classification of Polygons


Classification based on the Number of Sides

According to the number of sides a shape has, a polygon can be classified into different categories. 


Polygon Formula


Classification based on Interior Angles

According to the measure of the interior angles, a polygon can be classified into


1. Convex polygon 

2. Concave polygon


Convex Polygon


A convex polygon is a polygon where all the interior angles measure less than 180°.


Concave Polygon

A concave polygon is a polygon where at least one angle measures more than 180°.


Polygon Formula for Concave Polygon and Convex Polygon 

In a convex polygon of 'n' sides, where n is the number of sides, 

1. Sum of all the interior angles

Polygon Formula
2. Sum of all the exterior angles = 360°

3. Number of diagonals 


Polygon Formula

Polygon Formula for Simple and Complex Polygon 

A complex polygon is a polygon which intersects itself.

Polygon Formula

A simple polygon is a polygon which has only one boundary. It doesn't intersect itself. 

Polygon Formula

Polygon Formula for Regular and Irregular Polygon 

A regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be convex or concave in shape.


Polygon Formula


Regular polygon of n sides


1. Each interior angle is


Polygon Formula
=

Polygon Formula

2. Each exterior angle = 360/n

Irregular polygon

An irregular polygon can have sides of any length and each interior angle can be of any measure. They can be convex or concave, but all concave polygons are irregular since the interior angles cannot all be the same.


Polygon Formula

Hope this blog has helped you understand different types of polygons and the important Polygon formula for Concave polygon and Convex polygon which are used to solve geometric questions asked in SSC Exams. 

To see how polygon formula can help you solve questions on Concave Polygons and Convex Polygons, download free questionnaire for practice. 

Polygon Formula
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