Class 6 Exam > Class 6 Notes > Mathematics (Maths) Class 6 > RD Sharma Solutions: Circles (Exercise 14.1)
Circles (Exercise 14.1) RD Sharma Solutions | Mathematics (Maths) Class 6 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
1. Explain the following:
(i) Circle
(ii) Radius
(iii) Centre
(iv) Diameter
(v) Chord
(vi) Interior of a circle.
Solution:
(i) Circle – A circle is a set of all those points in a plane whose distance from a fixed point remains constant.
(ii) Radius – The radius of a circle is the distance between the all the points of the circle to its centre.
(iii) Centre – The centre of a circle is a fixed point which is at a constant distance from all the points.
(iv) Diameter – A line segment passing through the centre of a circle, and having its end-points on the circle is
called a diameter of the circle.
(v) Chord – A line segment with its end-points lying on a circle is called the chord of the circle.
(vi) Interior of a circle – The part of a plane inside the circle consisting of all the points is called the interior of a
circle.
2. Take a point on your notebook and draw circle of radii 4 cm, 3 cm and 6.5 cm, each having the same
centre O.
Solution:
The figure given below shows circles of 4 cm, 3 cm and 6.5 cm radii having the same centre.
3. Draw a circle with centre O and any radius. Draw AC and BD two perpendicular diameters of the circle.
Join AB, BC, CD and DA.
Solution:
Page 2
1. Explain the following:
(i) Circle
(ii) Radius
(iii) Centre
(iv) Diameter
(v) Chord
(vi) Interior of a circle.
Solution:
(i) Circle – A circle is a set of all those points in a plane whose distance from a fixed point remains constant.
(ii) Radius – The radius of a circle is the distance between the all the points of the circle to its centre.
(iii) Centre – The centre of a circle is a fixed point which is at a constant distance from all the points.
(iv) Diameter – A line segment passing through the centre of a circle, and having its end-points on the circle is
called a diameter of the circle.
(v) Chord – A line segment with its end-points lying on a circle is called the chord of the circle.
(vi) Interior of a circle – The part of a plane inside the circle consisting of all the points is called the interior of a
circle.
2. Take a point on your notebook and draw circle of radii 4 cm, 3 cm and 6.5 cm, each having the same
centre O.
Solution:
The figure given below shows circles of 4 cm, 3 cm and 6.5 cm radii having the same centre.
3. Draw a circle with centre O and any radius. Draw AC and BD two perpendicular diameters of the circle.
Join AB, BC, CD and DA.
Solution:
The figure given below shows a circle with centre O and two perpendicular diameter AC and BD.
4. Draw a circle with centre O and radius 6 cm. Mark points P, Q, R such that
(i) P lies on the circle,
(ii) Q lies in the interior of the circle, and
(iii) R lies in the exterior of the circle.
Rewrite each of the following statements using the correct symbol (=, < or >):
(i) OQ …… 5 cm (ii) OP ……. 5 cm (iii) OR …... 5 cm.
Solution:
The figure given below shows the points P, Q and R such that
(i) P lies on the circle,
(ii) Q lies in the interior of the circle, and
(iii) R lies in the exterior of the circle.
The statements can be written as
(i) OQ < 5 cm
(ii) OP = 5 cm
(iii) OR > 5 cm
Page 3
1. Explain the following:
(i) Circle
(ii) Radius
(iii) Centre
(iv) Diameter
(v) Chord
(vi) Interior of a circle.
Solution:
(i) Circle – A circle is a set of all those points in a plane whose distance from a fixed point remains constant.
(ii) Radius – The radius of a circle is the distance between the all the points of the circle to its centre.
(iii) Centre – The centre of a circle is a fixed point which is at a constant distance from all the points.
(iv) Diameter – A line segment passing through the centre of a circle, and having its end-points on the circle is
called a diameter of the circle.
(v) Chord – A line segment with its end-points lying on a circle is called the chord of the circle.
(vi) Interior of a circle – The part of a plane inside the circle consisting of all the points is called the interior of a
circle.
2. Take a point on your notebook and draw circle of radii 4 cm, 3 cm and 6.5 cm, each having the same
centre O.
Solution:
The figure given below shows circles of 4 cm, 3 cm and 6.5 cm radii having the same centre.
3. Draw a circle with centre O and any radius. Draw AC and BD two perpendicular diameters of the circle.
Join AB, BC, CD and DA.
Solution:
The figure given below shows a circle with centre O and two perpendicular diameter AC and BD.
4. Draw a circle with centre O and radius 6 cm. Mark points P, Q, R such that
(i) P lies on the circle,
(ii) Q lies in the interior of the circle, and
(iii) R lies in the exterior of the circle.
Rewrite each of the following statements using the correct symbol (=, < or >):
(i) OQ …… 5 cm (ii) OP ……. 5 cm (iii) OR …... 5 cm.
Solution:
The figure given below shows the points P, Q and R such that
(i) P lies on the circle,
(ii) Q lies in the interior of the circle, and
(iii) R lies in the exterior of the circle.
The statements can be written as
(i) OQ < 5 cm
(ii) OP = 5 cm
(iii) OR > 5 cm
5. Take two points A and B on the page of your note book. Draw a circle with centre A which passes
through B.
Solution:
The figure given below shows the circle with A as centre and a line which passes through B.
6. Draw a semi-circle with centre O and radius 5 cm. Is the diameter that determines the semi-circle, a part
of the semi-circle?
Solution:
The figure given below shows a semi-circle with centre O and radius 5 cm.
We know that a semi-circle is the end point of a diameter which divides the circle into two equal parts.
No, the diameter does not determine the semi-circle and it is the end points of the diameter which finds the semi-
circle or a part of the semi-circle.
7. The diameter of a circle is 14 cm, find its radius.
Solution:
It is given that
Diameter of a circle = 14 cm
We know that
Radius of a circle = Diameter / 2
By substituting the values
Page 4
1. Explain the following:
(i) Circle
(ii) Radius
(iii) Centre
(iv) Diameter
(v) Chord
(vi) Interior of a circle.
Solution:
(i) Circle – A circle is a set of all those points in a plane whose distance from a fixed point remains constant.
(ii) Radius – The radius of a circle is the distance between the all the points of the circle to its centre.
(iii) Centre – The centre of a circle is a fixed point which is at a constant distance from all the points.
(iv) Diameter – A line segment passing through the centre of a circle, and having its end-points on the circle is
called a diameter of the circle.
(v) Chord – A line segment with its end-points lying on a circle is called the chord of the circle.
(vi) Interior of a circle – The part of a plane inside the circle consisting of all the points is called the interior of a
circle.
2. Take a point on your notebook and draw circle of radii 4 cm, 3 cm and 6.5 cm, each having the same
centre O.
Solution:
The figure given below shows circles of 4 cm, 3 cm and 6.5 cm radii having the same centre.
3. Draw a circle with centre O and any radius. Draw AC and BD two perpendicular diameters of the circle.
Join AB, BC, CD and DA.
Solution:
The figure given below shows a circle with centre O and two perpendicular diameter AC and BD.
4. Draw a circle with centre O and radius 6 cm. Mark points P, Q, R such that
(i) P lies on the circle,
(ii) Q lies in the interior of the circle, and
(iii) R lies in the exterior of the circle.
Rewrite each of the following statements using the correct symbol (=, < or >):
(i) OQ …… 5 cm (ii) OP ……. 5 cm (iii) OR …... 5 cm.
Solution:
The figure given below shows the points P, Q and R such that
(i) P lies on the circle,
(ii) Q lies in the interior of the circle, and
(iii) R lies in the exterior of the circle.
The statements can be written as
(i) OQ < 5 cm
(ii) OP = 5 cm
(iii) OR > 5 cm
5. Take two points A and B on the page of your note book. Draw a circle with centre A which passes
through B.
Solution:
The figure given below shows the circle with A as centre and a line which passes through B.
6. Draw a semi-circle with centre O and radius 5 cm. Is the diameter that determines the semi-circle, a part
of the semi-circle?
Solution:
The figure given below shows a semi-circle with centre O and radius 5 cm.
We know that a semi-circle is the end point of a diameter which divides the circle into two equal parts.
No, the diameter does not determine the semi-circle and it is the end points of the diameter which finds the semi-
circle or a part of the semi-circle.
7. The diameter of a circle is 14 cm, find its radius.
Solution:
It is given that
Diameter of a circle = 14 cm
We know that
Radius of a circle = Diameter / 2
By substituting the values
Radius of a circle = 14/2 = 7 cm.
8. Given a circle with centre O and radius 2.5 cm, what is the length of the longest chord of the circle.
Solution:
We know that the diameter of a circle is its longest chord which is twice its radius.
So the length of the longest chord of the circle = 2 (2.5) = 5 cm.
9. Fill in the blanks:
(i) The diameter of a circle is ……. times its radius.
(ii) The diameter of a circle is the ……. chord of the circle.
(iii) The diameter of a circle pass through ……
(iv) A chord of a circle is a line segment with its end points on the ……
(v) If we join any two points on a circle by a line segment, we obtain …… of the circle.
(vi) A radius of a circle is a line segment with one end at ……. and the other end at …..
(vii) All radii of a circle are ……
(viii) The diameters of a circle are ……
(ix) The total number of diameters of a circle is …..
(x) Every point on a circle is ……. from its centre.
(xi) A chord of a circle contains exactly …… points of the circle.
(xii) A diameter is the longest …….
(xiii) Concentric circles are circles having ……
Solution:
(i) The diameter of a circle is two times its radius.
(ii) The diameter of a circle is the longest chord of the circle.
(iii) The diameter of a circle pass through its centre.
(iv) A chord of a circle is a line segment with its end points on the circle.
(v) If we join any two points on a circle by a line segment, we obtain chord of the circle.
(vi) A radius of a circle is a line segment with one end at centre and the other end at circle.
(vii) All radii of a circle are equal.
(viii) The diameters of a circle are concurrent.
(ix) The total number of diameters of a circle is infinite.
(x) Every point on a circle is equidistant from its centre.
(xi) A chord of a circle contains exactly two points of the circle.
(xii) A diameter is the longest chord.
(xiii) Concentric circles are circles having same centre.
Page 5
1. Explain the following:
(i) Circle
(ii) Radius
(iii) Centre
(iv) Diameter
(v) Chord
(vi) Interior of a circle.
Solution:
(i) Circle – A circle is a set of all those points in a plane whose distance from a fixed point remains constant.
(ii) Radius – The radius of a circle is the distance between the all the points of the circle to its centre.
(iii) Centre – The centre of a circle is a fixed point which is at a constant distance from all the points.
(iv) Diameter – A line segment passing through the centre of a circle, and having its end-points on the circle is
called a diameter of the circle.
(v) Chord – A line segment with its end-points lying on a circle is called the chord of the circle.
(vi) Interior of a circle – The part of a plane inside the circle consisting of all the points is called the interior of a
circle.
2. Take a point on your notebook and draw circle of radii 4 cm, 3 cm and 6.5 cm, each having the same
centre O.
Solution:
The figure given below shows circles of 4 cm, 3 cm and 6.5 cm radii having the same centre.
3. Draw a circle with centre O and any radius. Draw AC and BD two perpendicular diameters of the circle.
Join AB, BC, CD and DA.
Solution:
The figure given below shows a circle with centre O and two perpendicular diameter AC and BD.
4. Draw a circle with centre O and radius 6 cm. Mark points P, Q, R such that
(i) P lies on the circle,
(ii) Q lies in the interior of the circle, and
(iii) R lies in the exterior of the circle.
Rewrite each of the following statements using the correct symbol (=, < or >):
(i) OQ …… 5 cm (ii) OP ……. 5 cm (iii) OR …... 5 cm.
Solution:
The figure given below shows the points P, Q and R such that
(i) P lies on the circle,
(ii) Q lies in the interior of the circle, and
(iii) R lies in the exterior of the circle.
The statements can be written as
(i) OQ < 5 cm
(ii) OP = 5 cm
(iii) OR > 5 cm
5. Take two points A and B on the page of your note book. Draw a circle with centre A which passes
through B.
Solution:
The figure given below shows the circle with A as centre and a line which passes through B.
6. Draw a semi-circle with centre O and radius 5 cm. Is the diameter that determines the semi-circle, a part
of the semi-circle?
Solution:
The figure given below shows a semi-circle with centre O and radius 5 cm.
We know that a semi-circle is the end point of a diameter which divides the circle into two equal parts.
No, the diameter does not determine the semi-circle and it is the end points of the diameter which finds the semi-
circle or a part of the semi-circle.
7. The diameter of a circle is 14 cm, find its radius.
Solution:
It is given that
Diameter of a circle = 14 cm
We know that
Radius of a circle = Diameter / 2
By substituting the values
Radius of a circle = 14/2 = 7 cm.
8. Given a circle with centre O and radius 2.5 cm, what is the length of the longest chord of the circle.
Solution:
We know that the diameter of a circle is its longest chord which is twice its radius.
So the length of the longest chord of the circle = 2 (2.5) = 5 cm.
9. Fill in the blanks:
(i) The diameter of a circle is ……. times its radius.
(ii) The diameter of a circle is the ……. chord of the circle.
(iii) The diameter of a circle pass through ……
(iv) A chord of a circle is a line segment with its end points on the ……
(v) If we join any two points on a circle by a line segment, we obtain …… of the circle.
(vi) A radius of a circle is a line segment with one end at ……. and the other end at …..
(vii) All radii of a circle are ……
(viii) The diameters of a circle are ……
(ix) The total number of diameters of a circle is …..
(x) Every point on a circle is ……. from its centre.
(xi) A chord of a circle contains exactly …… points of the circle.
(xii) A diameter is the longest …….
(xiii) Concentric circles are circles having ……
Solution:
(i) The diameter of a circle is two times its radius.
(ii) The diameter of a circle is the longest chord of the circle.
(iii) The diameter of a circle pass through its centre.
(iv) A chord of a circle is a line segment with its end points on the circle.
(v) If we join any two points on a circle by a line segment, we obtain chord of the circle.
(vi) A radius of a circle is a line segment with one end at centre and the other end at circle.
(vii) All radii of a circle are equal.
(viii) The diameters of a circle are concurrent.
(ix) The total number of diameters of a circle is infinite.
(x) Every point on a circle is equidistant from its centre.
(xi) A chord of a circle contains exactly two points of the circle.
(xii) A diameter is the longest chord.
(xiii) Concentric circles are circles having same centre.
10. In each of the following, state if the statement is true (T) or false (F):
(i) Every circle has a centre.
(ii) The centre of a circle is a point of the circle.
(iii) Any two radii of a circle make up a diameter.
(iv) Every chord of a circle is parallel to some diameter of the circle.
(v) A circle is symmetric about each of its diameters.
(vi) The diameter is twice the radius.
(vii) A radius is a chord of the circle.
(viii) Concentric circles have the same radii.
(ix) The nearer a chord to the centre of a circle, the longer is its length.
Solution:
(i) True.
(ii) False.
(iii) False.
(iv) False.
(v) True.
(vi) True.
(vii) False.
(viii) False.
(ix) True.
Read More
|
94 videos|348 docs|54 tests
|
FAQs on Circles (Exercise 14.1) RD Sharma Solutions - Mathematics (Maths) Class 6
| 1. What are the properties of a circle? |  |
Ans. A circle is a closed figure made up of all points equidistant from a fixed point called the center. The properties of a circle include:
- All radii of a circle are congruent.
- The diameter is twice the length of the radius.
- The circumference of a circle is the distance around the circle.
- The area of a circle is given by the formula A = πr^2, where r is the radius.
| 2. How do you find the circumference of a circle? | |
Ans. The circumference of a circle can be found using the formula C = 2πr, where C is the circumference and r is the radius of the circle. Simply multiply the radius by 2π to get the circumference.
| 3. What is the relationship between the diameter and radius of a circle? | |
Ans. The diameter of a circle is twice the length of its radius. In other words, if r is the radius of a circle, then the diameter is 2r. Conversely, if d is the diameter of a circle, then the radius is d/2.
| 4. How do you find the area of a circle? | |
Ans. The area of a circle can be found using the formula A = πr^2, where A is the area and r is the radius of the circle. Simply square the radius and multiply it by π to get the area.
| 5. What is the difference between a circle and a sphere? | |
Ans. A circle is a two-dimensional shape that lies completely in a plane, while a sphere is a three-dimensional shape that extends in all directions from a central point. A circle has a circumference and area, whereas a sphere has a surface area and volume.
Related Exams
About this Document
|
4.86/5 Rating |
|
Dec 04, 2024 Last updated |
Document Description: RD Sharma Solutions: Circles (Exercise 14.1) for Class 6 2024 is part of Mathematics (Maths) Class 6 preparation.
The notes and questions for RD Sharma Solutions: Circles (Exercise 14.1) have been prepared according to the Class 6 exam syllabus. Information about RD Sharma Solutions: Circles (Exercise 14.1) covers topics
like and RD Sharma Solutions: Circles (Exercise 14.1) Example, for Class 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RD Sharma Solutions: Circles (Exercise 14.1).
Introduction of RD Sharma Solutions: Circles (Exercise 14.1) in English is available as part of our Mathematics (Maths) Class 6
for Class 6 & RD Sharma Solutions: Circles (Exercise 14.1) in Hindi for Mathematics (Maths) Class 6 course.
Download more important topics related with notes, lectures and mock test series for Class 6
Exam by signing up for free. Class 6: Circles (Exercise 14.1) RD Sharma Solutions | Mathematics (Maths) Class 6
Description
Full syllabus notes, lecture & questions for Circles (Exercise 14.1) RD Sharma Solutions | Mathematics (Maths) Class 6 - Class 6 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 6 | Best notes, free PDF download
Information about RD Sharma Solutions: Circles (Exercise 14.1)
In this doc you can find the meaning of RD Sharma Solutions: Circles (Exercise 14.1) defined & explained in the simplest way possible. Besides explaining types of
RD Sharma Solutions: Circles (Exercise 14.1) theory, EduRev gives you an ample number of questions to practice RD Sharma Solutions: Circles (Exercise 14.1) tests, examples and also practice Class 6
tests
|
Explore Courses for Class 6 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Circles (Exercise 14.1) RD Sharma Solutions | Mathematics (Maths) Class 6
,mock tests for examination
,Objective type Questions
,Previous Year Questions with Solutions
,Extra Questions
,Circles (Exercise 14.1) RD Sharma Solutions | Mathematics (Maths) Class 6
,Summary
,Important questions
,video lectures
,past year papers
,ppt
,practice quizzes
,Sample Paper
,Exam
,shortcuts and tricks
,Semester Notes
,Free
,study material
,Circles (Exercise 14.1) RD Sharma Solutions | Mathematics (Maths) Class 6
,Viva Questions
,MCQs
;
Additional Information about RD Sharma Solutions: Circles (Exercise 14.1) for Class 6 Preparation
RD Sharma Solutions: Circles (Exercise 14.1) Free PDF Download
The RD Sharma Solutions: Circles (Exercise 14.1) is an invaluable resource that delves deep into the core of the Class 6 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the RD Sharma Solutions: Circles (Exercise 14.1) now and kickstart your journey towards success in the Class 6 exam.
Importance of RD Sharma Solutions: Circles (Exercise 14.1)
The importance of RD Sharma Solutions: Circles (Exercise 14.1) cannot be overstated, especially for Class 6 aspirants.
This document holds the key to success in the Class 6 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
RD Sharma Solutions: Circles (Exercise 14.1) Notes
RD Sharma Solutions: Circles (Exercise 14.1) Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to RD Sharma Solutions: Circles (Exercise 14.1).
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, RD Sharma Solutions: Circles (Exercise 14.1) Notes on EduRev are your ultimate resource for success.
RD Sharma Solutions: Circles (Exercise 14.1) Class 6 Questions
The "RD Sharma Solutions: Circles (Exercise 14.1) Class 6 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 6 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study RD Sharma Solutions: Circles (Exercise 14.1) on the App
Students of Class 6 can study RD Sharma Solutions: Circles (Exercise 14.1) alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the RD Sharma Solutions: Circles (Exercise 14.1),
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of RD Sharma Solutions: Circles (Exercise 14.1) is prepared as per the latest Class 6 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup