Slide1: MATHEMATICS STANDARD: VI Bombay Cambridge Gurukul Bombay Cambridge Gurukul Circle


Slide2: 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


Slide3: A circle BACK


Slide4: BACK


Slide5: Five rings in the logo of Olympic games BACK A circle


Slide6: 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. BACK


Slide7: 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


Slide8: The distance around a circle is called its circumference. O Centre A circle A BACK


Slide9: A circle divides a plane into three parts. 2. Interior of a circle 3. Exterior of a circle A plane The interior of a circle together with its circumference is called the circular region. BACK


Slide10: Radius A line segment that joins any point on the circle to its centre is called a radius. M A point on the circle (Contd…)


Slide11: 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


Slide12: 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 (Contd…)


Slide13: 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…) P A N


Slide14: 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


Slide15: 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


Slide16: Diameter is also a chord of the circle. O Chord CD C D M N K L Chord MN Chord KL (Contd…) Diameter CD


Slide17: The diameter is the longest chord. O Diameter CD C D M N Chord MN (Contd…) C D M N Chord KL L K


Slide18: L K M N Chord MN Infinite number of chords can be drawn in a circle. Chord KL Chord GH G H BACK


Slide19: An arc is the distance between any two points on the circumference of a circle. (Contd…)


Slide20: 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. Naming an arc (Contd…) Arc KXL


Slide21: X An arc divides the circle into two parts: the smaller arc is called the minor arc, the larger one is called the major arc. (Contd…)


Slide22: An arc An arc BACK


Slide23: Half of a circle is called a semicircle. Centre O Diameter D E S A semicircle is also an arc of the circle. R (Contd…)


Slide24: E Diameter Semicircular region Semicircular region The diameter of a circle divides it into 2 semicircular regions. D BACK


Slide25: 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…)


Slide26: D E Chord DE Minor segment of the circle Major segment of the circle P Q 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


Slide27: Centre O


Slide28: Radius OM Centre M O


Slide29: Centre E D Diameter DE O


Slide30: Centre Chord PQ P Q O


Slide31: Centre E G O F


Slide32: S Centre O Diameter Semicircle D E Semicircle


Slide33: 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 T E E 5 I R L E 6 C E N T E H R O D 7