# Concise Mathematics Class 6 ICSE Solutions for Chapter 28 - Polygons

## ICSE Class 6 Mathematics Chapter 28 Selina Concise Solutions - Free PDF Download

Vedantu Selina Solutions Concise Maths Class 6 Chapter 28 Polygons helps students to get a clear idea about the fundamental concepts. Students are advised to solve textbook problems on a regular basis to score well in the annual exam. For a better understanding of the concepts, students can refer to Vedantu Selina Solutions Concise Maths Class 6 Chapter 28 Polygons PDF, from the links provided here.

ICSE Selina Concise Solutions are designed by our experts at Vedantu is a very simple and precise format explaining all the necessary concepts included in the syllabus quite easily and effectively. These Selina solutions can help the students to get excellent marks in their exams. Proper study materials, easy and accurate solutions will help in the quick understanding of concepts. Experts at Vedantu have compiled all the essential concepts in an easy to understand format so as to make the last minute revision easier. The Vedantu ICSE Selina Solutions are prepared according to the updated ICSE syllabus.

Chapter 28 Polygons has detailed answers for each and every question on Polygons.

Numerous examples present before the problems help students gain confidence in solving challenging problems on Class 6 Chapter 28 Polygons, with ease.

Vedantu Selina Solutions for Class 6 Chapter 28 Polygons will help students to understand the concepts of Polygons. Before jumping to solve the problems on Polygons let us revise the important concepts and formulas of Polygons.

### What is Polygon?

A polygon is a simple closed curve. A 2D closed figure bounded with three or more than three straight lines is called a polygon. Triangles, square, rectangle, pentagon, hexagon, are some examples of polygons.

The segments are referred to as the sides of the polygon. The points at which the segments meet are called vertices. Segments that share a vertex are called adjacent sides. A segment joining the nonadjacent vertices is called a diagonal.

### Types of Polygons

Different types of polygons are as follows,

Regular Polygon

Irregular Polygon

Convex Polygon

Concave polygon

### Regular Polygon

Polygons whose sides and angles are of equal lengths are called regular polygons.

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### Irregular Polygon

Polygons with different sizes and different interior angles are called irregular polygons.

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### Convex Polygon

Polygons with interior angles less than 1800 are called convex polygons.

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### Concave Polygons

Polygons with interior angles greater than 1800 are called concave polygons.

### Regular Polygon Formulas

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### Some of the Regular Polygon Formulas Related to Polygons Are

Interior Angle: An angle inside the polygon at one of its vertices is called the interior angle. Angle Q is an interior angle of quadrilateral.

Exterior Angle: An angle outside the polygon formed by one of its sides and the extension of an adjacent side is called the exterior angle of the quadrilateral.in the above quadrilateral angle ADZ, YUA, YUX, and QUX are the exterior angles.

The sum of the measures of all the exterior angles of a polygon is 360°.

Interior angle + corresponding exterior angle = 1800

The sum of the measures of the interior angles of a polygon with n sides is given by the general formula (n–2)180.

Sum of Interior angles of Polygon(IA) = (n-2) x 180

The measure of an exterior angle of a regular n - sided polygon is given by the formula 360/n

Exterior angle of a regular polygon(EA) = 360/n

The measure of an interior angle of a regular n- sided polygon is \[\frac{(n-2)180}{n}\]

Interior angle of a regular polygon = \[\frac{(n-2)180}{n}\]

The number of diagonal of n- sided polygon is \[\frac{n(n-3)}{2}\]

Diagonal of Polygon = \[\frac{n(n-3)}{2}\]

Perimeter P of a regular n-sided Polygon with s as the length of the sides is given by n x s

Perimeter of Polygon(P) = n x s

Area of polygon formula of a regular n-sided polygon with s as the length of the sides is given by s/2tan(180/n)

Area of Polygon(A) = s/ 2 tan (180/n)

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The Vedantu Selina Maths Solutions are designed to give maximum information to students preparing for the ICSE class 6 examinations. The questions are answered in a step-by-step and easy to understand manner. By referring to Vedantu Solutions, students can grasp the concepts behind the solutions very quickly. This will not only aid students by giving them the confidence to answer all sorts of questions in the examinations but will also ensure that they learn the concepts in the long run as well.

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All the doubts that might arise while solving the exercise questions will vanish by going through these Vedantu Selina solutions

The Vedantu Selina Maths Class 6 Chapter 28 Polygons Solutions focuses on answering the questions in the right way to encourage students to fetch full marks in the examination.

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