CBSE Class 11 Engineering Graphics Circles Semi Circles

Read and download CBSE Class 11 Engineering Graphics Circles Semi Circles in NCERT book for Class 11 Other Subjects. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Other Subjects textbook for Class 11 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 11 Other Subjects to understand the answers of the exercise questions given at the end of this chapter

NCERT Book for Class 11 Other Subjects Circles Semi Circles

Class 11 Other Subjects students should refer to the following NCERT Book Circles Semi Circles in Class 11. This NCERT Book for Class 11 Other Subjects will be very useful for exams and help you to score good marks

Circles Semi Circles NCERT Book Class 11

Engineering Graphics Circles, Semi Circles

2.1 INTRODUCTION

As we know that wheel has been the most revolutionary invention for transport and industrial revolution. In engineering many machine parts are circular in shape or uses part of a circle or some of their features. e.g. gears, pulleys, bearings etc. We shall be required to construct circle and circular features in many drawings of Engineering Graphics. In this chapter let us learn how to draw these and acquire the skill very well.

2.2 LET US RECALL

You have already learnt about circle and its construction in variety of problems in your earlier classes. Let us recall. Study the figure 2.1 and fill in the blanks with the choices given : (point of contact, Centre, Radius, Diameter, Chord, Tangent, Normal, Sector, ∠OPG|∠OPF, segments, O, OA, OC, OP, OB, radii, BC, P, arc, DE, twice, Semi circle.)

Q1. The fixed point ....... is the ...............

Q2. The constant distance from centre to any point on its circumference distances ........, ............ , ............. and ................ are .................

Q3. The line passing through the centre having its extremities on the circumference of the circle is ................. and is called ................

Q4. The line touching the circle at a point ....................... is known as ........................... .

Q5. The line perpendicular to tangent and joining the centre is named ..................... and angles ............... and ................... are 90°.

Q6. One of the ...................... is AC.

Q7. The portion of circle with arc BP and two corresponding radii is named................ .

Q8. The line segment ................ is known as .............................

Q9. The chord divides the circle in two parts called .................. .

Q10. The diameter is ................................ the radius.

Q11. A circle can be drawn when its ........................ and ................................... are given.

Q12. A diameter divides the circle into to equal halves which are known as ...................... .

Q13. The point P is named .....................


2.3 CONSTRUCTIONS OF CIRCLES

SOLVED EXAMPLES

Example 1

To find the centre of a given circle which is drawn without using compass. Use any circular object like glass tumbler, bottle cap etc. Solution : Refer Fig. 2.2 (i) Draw AB and CD two chords of the circle at any angle (except parallel chords) (ii) Find the perpendicular bisectors of both of them (iii) The point of intersection of the right bisectors (point O) is the centre of the circle.

Example 2

To draw a circle passing through three non-collinear points A, B and C. Solution : Refer fig. 2.3 (i) Take any three points A, B, and C. (ii) Join A with B and B with C. (iii) Find the perpendicular bisectors of AB and BC. (iv) Name the point of intersection of these perpendicular bisectors as O. (v)Now with O as centre and OA or OB or OC as radius, draw the circle through A, B and C points.

Example 3

Given the arc PQ, complete the circle.

Solution : Refer Fig. 2.4 Take any circular arc PQ (ii) Take any point R on PQ (iii) Find the perpendicular bisectors of PR and RQ (iv) Name the point of intersection of these as O. (v) Now draw a circle with O as centre and OP as radius. Can you name the other two radii like OP ?

You have already learnt about circle and its construction in variety of problems in your earlier classes. Let us recall. Study the figure 2.1 and fill in the blanks with the choices given : (point of contact, Centre, Radius, Diameter, Chord, Tangent, Normal, Sector, ∠OPG|∠OPF, segments, O, OA, OC, OP, OB, radii, BC, P, arc, DE, twice, Semi circle.)

Q1. The fixed point ....... is the ...............

Q2. The constant distance from centre to any point on its circumference distances ........, ............ , ............. and ................ are .................

Q3. The line passing through the centre having its extremities on the circumference of the circle is ................. and is called ................

Q4. The line touching the circle at a point ....................... is known as ........................... .

Q5. The line perpendicular to tangent and joining the centre is named ..................... and angles ............... and ................... are 90°.

Q6. One of the ...................... is AC.

Q7. The portion of circle with arc BP and two corresponding radii is named................ .

Q8. The line segment ................ is known as .............................

Q9. The chord divides the circle in two parts called .................. .

Q10. The diameter is ................................ the radius.

Q11. A circle can be drawn when its ........................ and ................................... are given.

Q12. A diameter divides the circle into to equal halves which are known as ...................... .

Q13. The point P is named .....................

2.3 CONSTRUCTIONS OF CIRCLES

SOLVED EXAMPLES

Example 1

To find the centre of a given circle which is drawn without using compass. Use any circular object like glass tumbler, bottle cap etc. Solution : Refer Fig. 2.2 (i) Draw AB and CD two chords of the circle at any angle (except parallel chords) (ii) Find the perpendicular bisectors of both of them (iii) The point of intersection of the right bisectors (point O) is the centre of the circle.

Example 2

To draw a circle passing through three non-collinear points A, B and C. Solution : Refer fig. 2.3 (i) Take any three points A, B, and C. (ii) Join A with B and B with C. (iii) Find the perpendicular bisectors of AB and BC. (iv) Name the point of intersection of these perpendicular bisectors as O. (v)Now with O as centre and OA or OB or OC as radius, draw the circle through A, B and C points.

Example 3

Given the arc PQ, complete the circle. Solution : Refer Fig. 2.4 Take any circular arc PQ (ii) Take any point R on PQ (iii) Find the perpendicular bisectors of PR and RQ (iv) Name the point of intersection of these as O. (v) Now draw a circle with O as centre and OP as radius. Can you name the other two radii like OP ?

 

Please refer to the link below for - CBSE Class 11 Engineering Graphics Circles, Semi Circles

CBSE Class 11 Categories of Reference Sources Description and Scope
CBSE Class 11 Computer Hardware used in Library Concepts
CBSE Class 11 Disaster Management Introduction
CBSE Class 11 Disaster Management Natural Hazards
CBSE Class 11 Engineering Graphics Circles Semi Circles
CBSE Class 11 Engineering Graphics Development of Surfaces
CBSE Class 11 Engineering Graphics Isometric Projection
CBSE Class 11 Engineering Graphics Lines Angles
CBSE Class 11 Engineering Graphics Orthographic Projection
CBSE Class 11 Engineering Graphics Orthographic Projections
CBSE Class 11 Engineering Graphics Sections Of Solids
CBSE Class 11 Engineering Graphics Special Curves
CBSE Class 11 Fashion Studies books
CBSE Class 11 Fashion Studies Elements of Design
CBSE Class 11 Fashion Studies Elements of Garment Making
CBSE Class 11 Financial Markets Commodities Market
CBSE Class 11 Financial Markets Financial Statement Analysis
CBSE Class 11 Financial Markets and Instruments
CBSE Class 11 Financial Markets Primary market
CBSE Class 11 Financial Markets Secondary Market
CBSE Class 11 Five Laws of Library Science
CBSE Class 11 Library Automation Software Main Features
CBSE Class 11 Library Information and Society
CBSE Class 11 Philosophy Buddhist Formal Logic
CBSE Class 11 Philosophy Categorical Syllogism
CBSE Class 11 Philosophy Elements of Symbolic Logic
CBSE Class 11 Philosophy Methods of Natural and Social Sciences
CBSE Class 11 Philosophy Mills Methods
CBSE Class 11 Philosophy Nyaya Theory
CBSE Class 11 Philosophy Observation and Experiment
CBSE Class 11 Philosophy Other Forms of Immediate
CBSE Class 11 Philosophy Science and Hypothesis
CBSE Class 11 Philosophy Square of Opposition
CBSE Class 11 Philosophy Terms
CBSE Class 11 Philosophy Terms and Propositions
CBSE Class 11 Philosophy The Nature and Subject matter
CBSE Class 11 Punjabi Textbook
CBSE Class 11 Reference and Information Sources
CBSE Class 11 Sanskrit Book Ritika
CBSE Class 11 Setting up and Running a School Library
CBSE Class 11 Theory of Cataloguing
CBSE Class 11 Theory of Classification
CBSE Class 11 Types of Libraries and their Role
NCERT Class 11 Graphic Design Development of Script
NCERT Class 11 Graphic Design Elements And Principles of Graphic Design
NCERT Class 11 Graphic Design Evolution in Reprography
NCERT Class 11 Graphic Design Glossary
NCERT Class 11 Graphic Design Indigenous Graphic Design And Culture
NCERT Class 11 Graphic Design Indigenous Graphic Design Practices
NCERT Class 11 Graphic Design Intoduction to Graphic Design
NCERT Class 11 Graphic Design Movable Metal Type to Digital Imaging
NCERT Class 11 Graphic DesignGraphic Art Design And Graphic Design
NCERT Class 11 Heritage Crafts Clay
NCERT Class 11 Heritage Crafts Crafts Heritage
NCERT Class 11 Heritage Crafts Jewellery
NCERT Class 11 Heritage Crafts Metal
NCERT Class 11 Heritage Crafts Natural Fibers
NCERT Class 11 Heritage Crafts Painting
NCERT Class 11 Heritage Crafts Paper Crafts
NCERT Class 11 Heritage Crafts Stone
NCERT Class 11 Heritage Crafts Textiles
NCERT Class 11 Heritage Crafts Theatre Crafts

Other Subjects NCERT Book Class 11 Circles Semi Circles

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NCERT Book Class 11 Other Subjects Circles Semi Circles

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