MATHEMATICS STANDARD : VI Bombay Cambridge Gurukul Circle. - презентация

1 MATHEMATICS STANDARD : VI Bombay Cambridge Gurukul Circle

2 S Radius OM Centre M Chord PQ P E D Q G Arc RE O F Diameter DE Circle in daily life Circle in music Circle in sports Circle Centre Circumference Circular region Radius Diameter Chord Arc Semicircle Segments of a circle Crossword

3 A circle BACK

4 Many musical instruments have a circular surface. For example: Bingo Drum Tabla Snare Drum Bass Drum BACK

5 Five rings in the logo of Olympic games BACK A circle

6 A circle can be drawn with the help of a circular object. For example: A circle drawn with the help of a coin. A circle is a closed curve in a plane.circle BACK

7 This fixed point (equidistant) inside a circle is called centre. A circle is a closed curve consisting of all points in a plane which are at the same distance (equidistant) from a fixed point inside it. O Centre A circle A circle has one and only one centre. BACK

8 The distance around a circle is called its circumference. O Centre A circle A BACK

9 A circle divides a plane into three parts. 2. Interior of a circle 3. Exterior of a circle A plane O Centre The interior of a circle together with its circumference is called the circular region. 1. The circle BACK

10 Radius A line segment that joins any point on the circle to its centre is called a radius. M A point on the circle Centre O (Contd…)

11 Radii ( plural of radius) of a circle are equal in length. Infinite number of radius can be drawn in a circle. Radius Centre K O L M N (Contd…) BACK

12 Diameter AB A line segment that joins any two points on the circle and passes through its centre is called a diameter. A B A circle O Centre (Contd…)

13 A circle O M Infinite number of diameters can be drawn in a circle. As the radii of a circle are equal in length, its diameters too are equal in length. B Q (Contd…) Centre P A N

14 The length of the diameter of a circle is twice the length of its radius. Radius OM Centre M O N Radius ON Diameter MN Diameter MN = Radius OM + Radius ON Radius OM = Radius ON (Contd…) BACK

15 A line segment that joins any two points on the circle is called a chord. O B A A is a point on the circle B is another point on the circle A line segment that joins point A and B Chord

16 Diameter is also a chord of the circle. O Chord CD C D M N K L Chord MN Chord KL (Contd…) Diameter CD

17 The diameter is the longest chord. O Diameter CD C D M N Chord MN (Contd…) C D M N Chord KL L K

18 L K M N Chord MN O Centre Infinite number of chords can be drawn in a circle. Chord KL Chord GH G H BACK

19 O Centre An arc is the distance between any two points on the circumference of a circle. K L (Contd…)

20 O Centre L K An arc is named by three points, of which two are the end points of the arc and the third one lies in between them. X Naming an arc (Contd…) Arc KXL

21 O Centre L K X Y An arc divides the circle into two parts: the smaller arc is called the minor arc, the larger one is called the major arc. Minor Arc KXL Major Arc KYL (Contd…)

22 An arc BACK

23 Half of a circle is called a semicircle. Centre O Diameter D E S A semicircle is also an arc of the circle. R Arc DSE Semicircle DRE (Contd…) Semicircle DSE Arc DRE

24 E Centre O Diameter Semicircle DSE Semicircle DRE Semicircular region The diameter of a circle divides it into 2 semicircular regions. D BACK

25 A chord divides the circular region into 2 parts, each of which is called a segment of the circle. Centre O D E Chord DE Minor segment of a circle Major segment of a circle S R (Contd…)

26 Centre O D E Chord DE Minor segment of the circle Major segment of the circle P Q Minor arc DPE Major arc DQE The part of the circular region enclosed by a minor arc and the chord is called a minor segment. Minor segment does not contain the centre of the circle. The part of the circular region enclosed by a major arc and the chord is called a major segment. Major segment contains the centre of the circle. BACK

27 RadiusDiameterChordArc Semi Circle Centre O

28 RadiusDiameterChordArc Semi Circle Radius OM Centre M O

29 RadiusDiameterChordArc Semi Circle Centre E D Diameter DE O

30 RadiusDiameterChordArc Semi Circle Centre Chord PQ P Q O

31 RadiusDiameterChordArc Semi Circle Centre E G Arc PQR O F

32 RadiusDiameterChordArc Semi circle S Centre O Diameter Semicircle D E Semicircle DSE Semicircle

33 C 2 C U M F E R N C E A E I Down 1. The distance between any two points on the circumference of the circle. 2. The distance around the circle. 3. The distance from the centre of the circle to a point on the circle. R D I U S R 1 C 3 R A Across: 4. The line segment that joins any two points on the circle and passes through its centre. 5. A closed curve in a plane. 6. All points on the circle are equidistant from this point. 7. A line segment that joins any two points on a circle. 4 D A M TEE 5 I R LE 6 C E N T E H R O D 7

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