Circle

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Circle

  1. 1. SMP 1 KUDUS CircleMATHEMATICS GRADE : 8
  2. 2. SCircle in daily life QCircle in music Q Ch ord PCircle in sports PCircleCentre Diameter DE D ECircumference M OCircular region O Centre u s diRadius RaDiameter F MChord REArc G A rcSectorSemicircleSegments of a circleCrossword
  3. 3. A circleBACK
  4. 4. Many musical instruments have a circular surface. For example: Bingo Drum TablaBACK Snare Drum Bass Drum
  5. 5. A circleBACK 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 A circle 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. BACK
  8. 8. A Centre A circle OThe distance around a circle is called its circumference.Formula of circumference: C = π d C = 2 π r BACK
  9. 9. A circle divides a plane into three parts. 3. Exterior of a circle Centre O 2. Interior of a circle 1. The circleA planeThe interior of a circle together with its circumferenceis called the circular region. BACK
  10. 10. O Centre i us R ad M A point on the circleA line segment that joins any point on the circle to its centre is called a radius. (Contd…)
  11. 11. (Contd…) N Centre O u s di M Ra K L Radii ( plural of radius) of a circle are equal in length. Infinite number of radius can be drawn in a circle. BACK
  12. 12. A O Centre A circle Diameter AB BA 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 O Centre 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 are equal in length.
  14. 14. (Contd…) Diameter MN M N Radius OM O Radius ON 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. BACK
  15. 15. A is a point on the B is another pointcircle on the circle A A line seCment th g hord at joins B point A and B OA line segment that joins any two points on the circle is called a chord.
  16. 16. M Cho rd M N N O C D Chord CD Diameter CD K L Chord K LDiameter is also a chord of the circle. (Contd…)
  17. 17. M N Chord MN O C D Diameter CD K L Chord KLC D M NThe diameter is the longest chord. (Contd…)
  18. 18. M N Chord MN G Ch O Centre or d GH K L Chord KL HInfinite number of chords can be drawn in a circle. BACK
  19. 19. K L O CentreAn arc is the distance between any two points on the circumference of a circle. (Contd…)
  20. 20. Naming an arc X Arc KXL K L O CentreAn arc is named by three points, of which two are the end points of the arc and the third one lies in between them. Formula of Arc length: θ/360 * πd (Contd…)
  21. 21. X Minor Arc KXL K L O Centre Major Arc KYL YAn arc divides the circle into two parts: the smaller arc is calledthe minor arc, the larger one is called the major arc. (Contd…)
  22. 22. An arcAn arc BACK
  23. 23. X K L O CentreFormula of Area sector: θ/360 * πr2 BACK
  24. 24. 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…)
  25. 25. Semicircle DSE Semicircular region O Diameter E D Centre Semicircular region Semicircle DREThe diameter of a circle divides it into 2 semicircular regions. BACK
  26. 26. S Minor segment of a circle D E Chord DE Centre O Major segment of a circle RA chord divides the circular region into 2 parts, each of which iscalled a segment of the circle. (Contd…)
  27. 27. P Minor arc DPE D E Minor segment of Chord DE the circle Centre 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. major Minor segment does not the centre of the circle. circle. Major contains contain the centre of the BACK
  28. 28. O Centre SemiRadius Diameter Chord Arc Circle
  29. 29. O Centre s OM u di Ra M SemiRadius Diameter Chord Arc Circle
  30. 30. Diameter DE D E O Centre SemiRadius Diameter Chord Arc Circle
  31. 31. Q Q Ch o rd P P O Centre SemiRadius Diameter Chord Arc Circle
  32. 32. E O Centre R PQ Arc F G SemiRadius Diameter Chord Arc Circle
  33. 33. S Semicircle DSE Semicircle Diameter D E O Centre Semicircle SemiRadius Diameter Chord Arc circle
  34. 34. 2C 1A Across: 4D I A M E T E 3R 4. The line segment that joins any R A two points on the circle and R passes through its centre. 5C I R C L E D 5. A closed curve in a plane. 6. All points on the circle are U I equidistant from this point. M 7. A line segment that joins any U two points on a circle. F S E Down6C E N T R E 1. The distance between any two points on the circumference of the E circle. N 2. The distance around the circle. 7C H O R D 3. The distance from the centre of the circle to a point on the circle. E

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