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Concise Mathematics Class 6 ICSE Solutions for Chapter 28 - Polygons

Q: 1. What is a Polygon? Give some examples of Polygons mentioned in Selina Concise Mathematics Class 6 ICSE Solutions for Chapter 28 - Polygons.

Poly means 'many' and 'gon' means 'angled'A Polygon is a plane, two-dimensional figure (2D figure), which can have a countable number of lines.As we have seen in Chapter 27: Quadrilaterals, they are also examples of polygons. Quadrilaterals are polygons that have only 4 sides.Other examples of Polygons are - Triangle, Octagon, Hexagon, Heptagon, Nonagon, Pentagon, etc.

ICSE

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 of Polygons. Students are advised to solve Selina concise textbook problems regularly to score well in the annual exam.

ICSE Selina Concise Solutions are designed by our experts at Vedantu in a very simple and precise format. It explains 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 to make the last minute revision easier.

Class 6 Concise Mathematics Chapter 28 For ICSE Solutions - Polygons

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)

Key Features of Vedantu Solutions

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.

Some of the Features of Vedantu Solutions are

Easy & reliable solutions
Available free of cost
Highlight important examination questions
Step-by-step solutions for all questions
Prepared by subject experts
Designed according to the latest ICSE syllabus pattern
Available online 24/7
In-depth knowledge of the chapter is provided in easy language.
Is based on the latest ICSE syllabus.
Best study material to prepare for the Class 12 ICSE board exam.
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.

All the Selina Maths Solutions are created by our experts who have vast academic experience.

The Vedantu Selina Concise Maths Class 6 ICSE solutions pdf includes details for all chapters from the subject. This will allow the students to examine and understand every concept even if practising for the first time.

By studying these Selina ICSE Solutions for Class 6 you can easily get high marks in ICSE Class 6 Examinations.

Conclusion

The Vedantu ICSE Selina Solutions are prepared according to the updated ICSE syllabus. Vedantu also provides a set of various study materials for ICSE class 6 mathematics students. Visit Vedantu.com to download free PDFs.

FAQs on Concise Mathematics Class 6 ICSE Solutions for Chapter 28 - Polygons

1. What is a Polygon? Give some examples of Polygons mentioned in Selina Concise Mathematics Class 6 ICSE Solutions for Chapter 28 - Polygons.

Poly means 'many' and 'gon' means 'angled'

A Polygon is a plane, two-dimensional figure (2D figure), which can have a countable number of lines.

As we have seen in Chapter 27: Quadrilaterals, they are also examples of polygons. Quadrilaterals are polygons that have only 4 sides.

Other examples of Polygons are - Triangle, Octagon, Hexagon, Heptagon, Nonagon, Pentagon, etc.

2. What are the types of Polygons mentioned in Selina Concise Mathematics Class 6 ICSE Solutions for Chapter 28 - Polygons?

The different types of Polygons mentioned in Selina Concise Mathematics Class 6 ICSE Solutions for Chapter 28 - Polygons are:

Regular Polygon: A Regular polygon is a polygon that has equal sides and equal angles like Pentagon, Hexagon.
Irregular Polygon: As the name suggests Irregular polygons are the type of polygons that do not have equal sides or equal angles and none of their factors is equivalent. It is the total opposite of a regular polygon.
Concave Polygon: concave polygon is a type of polygon, which has at least one of its angles exceeding 180 degrees and it would have inward-facing as well as outward-facing vertices(Corners).
Convex Polygon: convex polygon is the exact opposite of the concave polygon because none of its interior angles exceeds 180 degrees. All of its vertices face outwards.
Quadrilateral Polygon: quadrilateral polygon is another example of a regular convex polygon but the quadrilateral polygon only has four sides and all the vertices face out words.

3. Which Shapes are not Polygons in Selina Concise Mathematics Class 6 ICSE Solutions for Chapter 28 - Polygons?

As we know, A Polygon is a plane, two-dimensional figure (2D figure), which can have a countable number of lines.

At least three or more lines are required to form a polygon.

The shape which does not have at least three lines is not a polygon.
The shape that does not have vertices( points that connect two lines) is not a polygon. Hence the circle is not a polygon.
Shapes that are not two dimensional are not polygons ( 3 D - three-dimensional figures such as cubes or cones are not polygons).

The shapes that are not closed are not polygons.

Examples of non-polygon figures: Circle, Cylinder, Cuboid, Unclosed Shape, Heart Shape, etc.

4. How should I prepare for Selina Concise Mathematics Class 6 ICSE Solutions for Chapter 28 - Polygons to get good grades in the final examination?

ICSE , Class 6 Mathematics Chapter : 28 Polygon is an easy chapter. Students can prepare for this chapter in a span of a single day.

Follow these easy steps :

Refer to Selina Concise Mathematics Class 6 textbook or you can take any other preferred text book and read Chapter : 28 Polygon line by line. Try to Understand the meaning of the various terms provided in the chapter.

After understanding the meaning of terms, go through the formulas . you can also note these formulas in your rough book, for a quick reference.

Try to solve the examples that are provided in your textbook by applying the formulas.
Try solving simple examples in the beginning and then move to the complex problems.

Refer Vedantu.com if you get stuck on any question.

Using this method you can learn chapter-28 Polynomial or any other mathematics chapter easily.

5. Should I refer to Selina Concise Mathematics Class 6 ICSE Solutions for Chapter 28 - Polygons?

The most recommended study material is the ICSE Class 6, Concise Mathematics Textbook by Selina Publishers. This is because it contains various types of examples & exercises that help in self-assessment. Every concept is described thoroughly in simple language.

Hence this textbook is the most preferred textbook for ICSE Class 6 Mathematics. Solve all the questions provided in the textbook. You can also refer to the site Vedantu.com for all Concise Mathematics Class 6 Solutions. You can also join Vedantu's Tuition Classes for Class 6 Mathematics to learn the concepts from Vedantu's Expert Mathematics Teachers.