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Circle and its parts

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  • 1. MATHEMATICSMATHEMATICS GeometryGeometry Circle and its Parts
  • 2. A circle
  • 3. Many musical instruments have a circular surface. For example: Bingo Drum Tabla Snare Drum Bass Drum
  • 4. Five rings in the logo of Olympic games A circle
  • 5. 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.
  • 6. 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. OCentre A circle A circle has one and only one centre.
  • 7. Radius A line segment that joins any point on the circle to its centre is called a radius. M A point on the circle CentreO (Contd…)
  • 8.  Radii ( plural of radius) of a circle are equal in length.  Infinite number of radius can be drawn in a circle. R adius Centre K O L M N (Contd…)
  • 9. 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…)
  • 10. 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 B Q (Contd…) Centre P A N
  • 11. 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…)
  • 12. 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
  • 13. Diameter is also a chord of the circle. O Chord CD C D M N K L Chord MN Chord KL (Contd…) Diameter CD
  • 14. The diameter is the longest chord. O Diameter CD C D M N Chord MN (Contd…) C D M N Chord KL LK
  • 15. L K M N Chord MN O Centre Infinite number of chords can be drawn in a circle. Chord KL Chord GH G H
  • 16. K C O Centre Secant KC KC It is a line that intersects the circle at any two point on the circle line that contains a chord
  • 17. K C O Centre Secant KC KC X A D Infinite number of secants can be drawn in a circle.
  • 18. K C O Centre It is a line that intersects the circle at exactly one point on the circle. This point is called Point of Tangency. C Point of Tangency
  • 19. O Centre An arc is the distance between any two points on the circumference of a circle. K L (Contd…)
  • 20. O Centre LK 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 LK 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 An arc
  • 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. Radius Diameter Chord Arc Semi Circle Centre O
  • 25. Radius Diameter Chord Arc Semi Circle Radius O M Centre M O
  • 26. Radius Diameter Chord Arc Semi Circle Centre ED Diameter DE O
  • 27. Radius Diameter Chord Arc Semi Circle Centre Chord PQ P Q O
  • 28. Radius Diameter Chord Arc Semi Circle Centre E G Arc PQ R O F
  • 29. Radius Diameter Chord Arc Semi circle S Centre O Diameter Semicircle D E Semicircle DSE Semicircle
  • 30. Secant Tangent SecantMX Centre M O X
  • 31. Secant Tangent Centre ED Diameter DE O T TangentDT Point of Tangency
  • 32. 1. the distance between any two points on the circumference of a circle. 2. A line segment that joins any two points on a circle. 3..The line segment that joins any two points on the circle and passes through its center. 4. Line segment that joins any point on the circle to its centre . 5. Line that intersects the circle at any two point on the circle. 6. line that intersects the circle at exactly one point on the circle 23 4 5 6 1 Direction: Fill in the box the answers of its corresponding statements shown on the right. Hint: The last letter of the answer will be the first letter of next answer.
  • 33. Across: 1. the distance between any two points on the circumference of a circle. 2. A line segment that joins any two points on a circle. 3..The line segment that joins any two points on the circle and passes through its center. 4. Line segment that joins any point on the circle to its centre . 5. Line that intersects the circle at any two point on the circle. 6. line that intersects the circle at exactly one point on the circle CHORDIA M E T E R A D I U S E C ANTANGENT R A Direction: Fill in the box the answers of its corresponding statements shown on the right. Hint: The last letter of the answer will be the first letter of next answer.