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NCERT Solutions for Class 6 Maths Chapter 4: Basic Geometrical Ideas - Exercise 4.6

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NCERT Solutions for Class 6 Maths Chapter 4 (Ex 4.6)

Free PDF download of NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 (Ex 4.6) and all chapter exercises at one place prepared by an expert teacher as per NCERT (CBSE) books guidelines. Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise 4.6 Questions with Solutions to help you to revise complete Syllabus and Score More marks. Register and get all exercise solutions in your emails.


Class:

NCERT Solutions for Class 6

Subject:

Class 6 Maths

Chapter Name:

Chapter 4 - Basic Geometrical Ideas

Exercise:

Exercise - 4.6

Content-Type:

Text, Videos, Images and PDF Format

Academic Year:

2023-24

Medium:

English and Hindi

Available Materials:

  • Chapter Wise

  • Exercise Wise

Other Materials

  • Important Questions

  • Revision Notes



Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Subjects like Science, Maths, English,Hindi will become easy to study if you have access to NCERT Solution for Class 6 Science , Maths solutions and solutions of other subjects.

Access NCERT Solutions for Class 6 Maths Chapter 4 – Basic Geometrical Ideas

1. From the figure, identify:

Different parts of circle


(i). The centre of circle

Ans: The centre of a circle is a point that is equidistant from all the points on the circumference of the circle. It is the point that is in the middle of the circle.

The centre of the circle in the given figure is point $O$.


(ii). Three radii

Ans: The radii are the distance of any point on the circumference of the circle from the centre of the circle. It is also half of the diameter of the circle.

The three radii of the circle in the given figure are $OA$, $OB$, and $OC$.


(iii). A diameter

Ans: The diameter is the longest line that connects any two points on the circumference of the circle. The diameter of any given circle will always pass through its center. Diameter is the longest chord in a circle. The diameter is twice the radius in the circle.

The diameter of the circle in the given figure is $AC$.


(iv). A chord

Ans: A chord is a line that connects any two points on the circumference of the circle. A chord divides a circle into two unequal parts. The diameter is the longest chord in a circle that divides the circle into two equal parts. 

The chord of the circle in the given figure is $ED$.


(v). Two points in the interior

Ans: Points that lie within the circumference of the circle are known as the interior points. The centre is a kind of an interior point.

The two interior points in the circle in the given figure are $O$ and $P$.


(vi). A point in the exterior

Ans: Points that lie outside the circumference of the circle are known as the exterior points.

The exterior point outside the circle in the given figure is$Q$.


(vii). A sector

Ans: A sector is that part of the circle that lies between the two radii and an arc of the circle. The sector subtends any angle at the centre of the circle.

The sector of the circle in the given figure is $OAB$.


(viii). A segment

Ans: A segment is that part of the circle that is formed by the chord. In other words, the segment is formed by the chord dividing the circle. 

The segment of the circle in the given figure is $ED$.


2. (a) Is every diameter of a circle also a chord?

Ans: The diameter is the longest line that connects any two points on the circumference of the circle. The diameter of any given circle will always pass through its center. The diameter is twice the radius in the circle.

A chord is a line that connects any two points on the circumference of the circle. A chord divides a circle into two unequal parts. 

The diameter is the longest chord in a circle that divides the circle into two equal parts. 

Therefore, we can conclude that every diameter of a circle is also a chord.


(b) Is every chord of a circle also a diameter?

Ans: A chord is a line that connects any two points on the circumference of the circle. A chord divides a circle into two unequal parts. 

The diameter is the longest line that connects any two points on the circumference of the circle. The diameter of any given circle will always pass through its center. The diameter is twice the radius in the circle.

The diameter is the longest chord in a circle that divides the circle into two equal parts. 

Therefore, the diameter is a type of chord.

However, not all chords are diameters. This is because not all chords pass through the centre.

Therefore, we can conclude that not every chord of a circle is a diameter but every diameter is a chord of a circle. 


3. Draw any circle and mark:

(a). Its centre

Ans: The centre of a circle is a point that is equidistant from all the points on the circumference of the circle. It is the point that is in the middle of the circle.

The centre of the circle in the given figure is point $O$.


Centre of circle


(b). A radius.

Ans: The radius is the distance of any point on the circumference of the circle from the centre of the circle. It is also half of the diameter of the circle.

A circle possesses an infinite number of radii. 

The radius of the circle is $OA$.

Radius of circle


(c). A diameter 

Ans: The diameter is the longest line that connects any two points on the circumference of the circle. The diameter of any given circle will always pass through its center. Diameter is the longest chord in a circle. The diameter is twice the radius in the circle.

A circle possesses an infinite number of diameters.

The diameter of the circle in the given figure is $AB$.

Diameter of circle


(d). A sector

Ans: A sector is that part of the circle that lies between the two radii and an arc of the circle. The sector subtends any angle at the centre of the circle.

The sector of the circle in the given figure is $OAB$.


Sector of circle


4. Say true or false.

(a). Two diameters of a circle will necessarily intersect.

Ans: The diameter is the longest line that connects any two points on the circumference of the circle. The diameter of any given circle will always pass through its center. Diameter is the longest chord in a circle. The diameter is twice the radius in the circle.

A circle possesses an infinite number of diameters.

Since all the diameters pass through the centre of the circle, therefore, they intersect at the centre of the circle.

Hence, the given statement, ‘Two diameters of a circle will necessarily intersect’ is true. 


(b). The centre of a circle is always in its interior.

Ans: The centre of a circle is a point that is equidistant from all the points on the circumference of the circle. It is the point that is in the middle of the circle.

Points that lie within the circumference of the circle are known as the interior points. The centre is a kind of an interior point.

Hence, the given statement, ‘The centre of a circle is always in its interior’ is true.


NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise 4.6

Opting for the NCERT solutions for Ex 4.6 Class 6 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 4.6 Class 6 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 6 students who are thorough with all the concepts from the Maths textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 6 Maths Chapter 4 Exercise 4.6 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 6 Maths Chapter 4 Exercise 4.6, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it. 

Do not delay any more. Download the NCERT solutions for Class 6 Maths Chapter 4 Exercise 4.6 from Vedantu website now for better exam preparation. If you have the Vedantu app in your phone, you can download the same through the app as well. The best part of these solutions is these can be accessed both online and offline as well. 

FAQs on NCERT Solutions for Class 6 Maths Chapter 4: Basic Geometrical Ideas - Exercise 4.6

1. How many questions are present in NCERT Solutions for Class 6 Maths Chapter 4 basic geometrical ideas?

Class 6 Maths Chapter 4 ‘Basic Geometrical Ideas’ contains the following exercise questions;

  • Exercise 4.1-  6 questions

  • Exercise 4.2- 5 questions

  • Exercise 4.3- 3 questions

  • Exercise 4.4- 2 questions

  • Exercise 4.5- 3 questions

The chapter introduces students to the basic concepts of geometry. Students get familiarised with the concepts of the point, line, geometrical shapes, angles, etc. Solving these exercise questions will help students gain confidence over these concepts.

2. How many questions with long solutions (more than 180 words) are present in NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas?

The solutions for Class 6 Maths Chapter 4 are divided into five exercise sections. The questions from each exercise having long answer types are:

  • 4.1- Q4 and Q5

  • 4.4- Q2

  • 4.5- Q2 and Q3

  • 4.6- Q1

Students can refer to the solutions for all exercise questions of this chapter to clarify their doubts. By doing so they will strengthen their fundamentals and would be able to score well in their exams.  

3. What are the important concepts covered in the NCERT Class 6 Maths Chapter 4?

Chapter 4 of NCERT Class 6 ‘Basic Geometrical Ideas’ introduces students to the basics of geometry. The important concepts that this chapter contains are;

  • Definition of line and the different types of lines

  • Definition of curves and their different types.

  • Definition of polygon and its different types

  • Circle and its different parts

  • Angles and the different regions associated with it.

4. What are the different parts of a circle?

The circle is a simple closed curve, whose different parts are;

  • Arc-  A portion of the circle

  • Circumference- The distance around a circle

  • Radius- A fixed distance from the centre of the circle to the circumference.

  • Chord- The line segment which joins any two points on a circle

  • Diameter- The chord passing through the centre of the circle is called the diameter.

The other parts include a sector and a segment.

5. Where can I get the NCERT Solution for Class 6 NCERT Maths Chapter 4?

The NCERT Solutions for Class 6 NCERT Maths can be found on Vedantu’s website. Follow the steps below for the solutions:

  • Go to this NCERT Solution for Class 6 NCERT Maths Chapter 4.

  • On clicking this link you will see a page with all the chapters listed.

  • Click on Chapter 4 to see the solutions.

  • The answers will be displayed on the screen.

  • Click on ‘Download PDF’ to save for offline use.