Mathematics (Properties of Circle)

Toh Wee Teck, Diane Phillips, 29.9.2016

Mathematics (Properties of Circle)


  • 1. Parts of Circle (old)
  • 2. Equal Chords
  • 3. Equal Chords (Proof)
  • 4. Equidistant Chords (Proof)
  • 5. Perpendicular Bisector of Chord (old)
  • 6. Perpendicular Bisector of Chord (Proof)
  • 7. Centre to Midpoint of Chord
  • 8. Centre to Midpoint of Chord (Proof)
  • 9. Perpendicular Line from Chord
  • 10. Perpendicular Line from Chord (Proof)
  • 11. Angle between Tangent & Radius
  • 12. Angle between Tangent & Radius (Illustration)
  • 13. External Point to Circle
  • 14. External Point to Circle (Proof)
  • 15. Angles at Circumference & Centre
  • 16. Angles at Circumference & Centre (Proof 1)
  • 17. Angles at Circumference & Centre (Proof 2)
  • 18. Angles at Circumference & Centre (Proof 3)
  • 19. Angle in Semicircle
  • 20. Angle in Semicircle (Proof)
  • 21. Angles in Same Segment
  • 22. Angles in Same Segment (Proof)
  • 23. Angles in Opposite Segments
  • 24. Angles in Opposite Segments (Proof)
  • 25. Alternate Segment Theorem
  • 26. Alternate Segment Theorem (Proof 1)
  • 27. Alternate Segment Theorem (Proof 2)
  • 28. Alternate Segment Theorem (Proof 3)
  • 29. Finding Centre from 3 Points on Circumference (Question)
  • 30. Finding Centre from 3 Points on Circumference (Answer)
  • 31. Circle passing through 3 Points
  • 32. Broken Plate (Problem)
  • 33. Broken Plate (Solution)
  • 34. External Point to Circle (Question)
  • 35. 3 Points on Circumference & Centre (Question)
  • 36. 3 Points on Circumference & Centre (Answer)
  • 37. Quadrilateral on 2 Circles (Question)
  • 38. Quadrilateral on 2 Circles (Answer)

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Parts of Circle (old)

– Toh Wee Teck

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