Circle ppt

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Circle ppt

  1. 1. Circle MATHEMATICS STANDARD: VI
  2. 2. S Circle in daily life Q Circle in music PQ ord Ch Circle in sports P Circle Diameter DE Centre D E Circumference O M O Centre Circular region s u di Radius Ra F Diameter M Chord RE rc Arc G A Semicircle Segments of a circle Crossword
  3. 3. A circle BACK
  4. 4. Many musical instruments have a circular surface. For example: Bingo Drum BACK Tabla Snare Drum Bass Drum
  5. 5. A circle BACK Five rings in the logo of Olympic games
  6. 6. A circle is a closed curve in a plane. A circle can be drawn with the help of a circular object. For example: A circle drawn with the help of a coin. BACK
  7. 7. 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. Centre O This fixed point (equidistant) inside a circle is called centre. A circle has one and only one centre. A circle
  8. 8. A Centre O A circle The distance around a circle is called its circumference.
  9. 9. A circle divides a plane into three parts. 3. Exterior of a circle Centre O 2. Interior of a circle A plane 1. The circle The interior of a circle together with its circumference is called the circular region.
  10. 10. us di Ra O Centre M A point on the circle A line segment that joins any point on the circle to its centre is called a radius. (Contd…)
  11. 11. (Contd…) N Centre O us di a R K M L  Radii ( plural of radius) of a circle are equal in length.  Infinite number of radius can be drawn in a circle.
  12. 12. A O Centre Diameter AB A circle B A line segment that joins any two points on the circle and passes through its centre is called a diameter. (Contd…)
  13. 13. (Contd…) M A A circle P Centre O Q B N  Infinite number of diameters can be drawn in a circle.  As the radii of a circle are equal in length, its diameters too
  14. 14. (Contd…) M Diameter MN Radius OM O Radius ON N Centre Radius OM = Radius ON Diameter MN = Radius OM + Radius ON The length of the diameter of a circle is twice the length of its radius.
  15. 15. A is a point on the circle A Chord A line segment that joins point A and B B is another point on the circle B O A line segment that joins any two points on the circle is called a chord.
  16. 16. M Cho rd MN N O C Chord CD Diameter CD L D K L ord K Ch Diameter is also a chord of the circle. (Contd…)
  17. 17. M Chord MN N O C D Diameter CD K Chord KL L D C M N The diameter is the longest chord. (Contd…)
  18. 18. M Chord MN G Ch or d N O Centre GH K L Chord KL H Infinite number of chords can be drawn in a circle. BACK
  19. 19. K L O Centre An arc is the distance between any two points on the circumference of a circle. (Contd…)
  20. 20. Naming an arc X K Arc KXL L O Centre 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. (Contd…)
  21. 21. Minor Arc KXL K X L O Centre Major Arc KYL 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. (Contd…)
  22. 22. An arc An arc
  23. 23. S Semicircle DSE Arc DSE Diameter D E O Centre R Semicircle DRE Arc DRE  Half of a circle is called a semicircle.  A semicircle is also an arc of the circle. (Contd…)
  24. 24. Semicircle DSE Semicircular region D O Diameter Centre E Semicircular region Semicircle DRE The diameter of a circle divides it into 2 semicircular regions. BACK
  25. 25. S D Minor segment of a circle E Chord DE Centre O Major segment of a circle R A chord divides the circular region into 2 parts, each of which is called a segment of the circle. (Contd…)
  26. 26. P Minor arc DPE E D Chord DE Centre Minor segment of the circle O Major segment of the circle Major arc DQE Q  The part of the circular region enclosed by a minor arc and major the chord is called a minor segment.centre of the major  Minor segment does not the centre of the circle. circle. Major contains contain the BACK
  27. 27. O Centre Radius Diameter Chord Arc Semi Circle
  28. 28. sO iu ad R M O Centre M Radius Diameter Chord Arc Semi Circle
  29. 29. Diameter DE D O E Centre Radius Diameter Chord Arc Semi Circle
  30. 30. Ch o r d PQ Q P O Centre Radius Diameter Chord Arc Semi Circle
  31. 31. E O Centre R PQ rc F A G Radius Diameter Chord Arc Semi Circle
  32. 32. S Semicircle DSE Semicircle D Diameter O E Centre Semicircle Radius Diameter Chord Arc Semi circle
  33. 33. 2C 1A 4D I R R 5C I R C A M E T E 3R A L D E U I M U F S E 6C E N T R E N E 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. Down 1. The distance between any two points on the circumference of the circle. 2. The distance around the circle. E 7C H Across: O R D 3. The distance from the centre of the circle to a point on the circle.

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