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Circle and its parts

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Circle and its parts

  1. 1. MATHEMATICSMATHEMATICS GeometryGeometry Circle and its Parts
  2. 2. A circle
  3. 3. Many musical instruments have a circular surface. For example: Bingo Drum Tabla Snare Drum Bass Drum
  4. 4. Five rings in the logo of Olympic games A circle
  5. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 17. K C O Centre Secant KC KC X A D Infinite number of secants can be drawn in a circle.
  18. 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. 19. O Centre An arc is the distance between any two points on the circumference of a circle. K L (Contd…)
  20. 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. 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. 22. An arc An arc
  23. 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. 24. Radius Diameter Chord Arc Semi Circle Centre O
  25. 25. Radius Diameter Chord Arc Semi Circle Radius O M Centre M O
  26. 26. Radius Diameter Chord Arc Semi Circle Centre ED Diameter DE O
  27. 27. Radius Diameter Chord Arc Semi Circle Centre Chord PQ P Q O
  28. 28. Radius Diameter Chord Arc Semi Circle Centre E G Arc PQ R O F
  29. 29. Radius Diameter Chord Arc Semi circle S Centre O Diameter Semicircle D E Semicircle DSE Semicircle
  30. 30. Secant Tangent SecantMX Centre M O X
  31. 31. Secant Tangent Centre ED Diameter DE O T TangentDT Point of Tangency
  32. 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. 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.

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