High School Challenge





Intersecting Chords


Two chords in the same circle are perpendicular to each other. The point of intersection divides one chord into segments of 3 and 4 units and the other chord into segments that are 6 and 2 units. What is the diameter of the circle?


Correct Solutions:


  1. Sorin Ionescu. Ecole Secondaire Dorval, Quebec, Canada
  2. Joel Flaxman. Evanston Township HS, Evanston, IL
  3. Chris Barrow. Northwest MS, Greensboro, NC
  4. Ibraheem Mohammed. C.W. Ruckel MS, Niceville, FL
  5. Duc Thai, Rostrevor College, Adelaide, South Australia
  6. Wally Chu. Redmond HS, Redmond, WA
  7. Scott Wessels. Granite Hills HS, El Cajon, CA
  8. Rebecca Solomon. Royal West Academy, Montreal, Quebec, Canada
  9. Tet Matsuguchi. Centennial HS, Boise, ID
  10. Gregory Winston. O'Neill C.V.I., Oshawa, Ontario, Canada
  11. Alex Lorbert. Flatbush HS, Brooklyn, NY
  12. Isaac Dominguez T. High School # 22, Guadalupe, N.L., Mexico
  13. Aurelien Ramseyer. Kent-Meridian HS, Kent, WA
  14. Joe Stark. Vero Beach HS, Vero Beach, FL
  15. Slade Hart. Louisa County HS, Mineral VA
  16. Stephen Sieg. Louisa County HS, Mineral VA
  17. Rick Allison. Lyman HS, Longwood, FL
  18. Nasser Demir. American School of Kuwait, Hawalli, Kuwait
  19. James Corbeil. Decatur HS, Federal Way, WA
  20. Barbara Blocki. Decatur HS, Federal Way, WA
  21. Jeff Kang. Decatur HS, Federal Way, WA
  22. Hyunah Lee. Decatur HS, Federal Way, WA
  23. Alex Nixon. Decatur HS, Federal Way, WA
  24. Michelle VanderPol. Decatur HS, Federal Way, WA
  25. Eric Slagle. Decatur HS, Federal Way, WA
  26. Jessica Nicklay. Decatur HS, Federal Way, WA
  27. Michael Holmes. Decatur HS, Federal Way, WA
  28. Justin Lam. College Park HS, Pleasant Hill, CA
  29. Sandeep Chopra. T.L.K. Secondary School, Mississauga, Ontario, Canada
  30. Kolade Apata, B.E. Mays High School, Atlanta, GA
  31. Danny Cheng. Macleans College, Bucklands Beach, Auckland, New Zealand
  32. Beth Wilson. Apollo JHS, Richardson, TX
  33. Chris Ray. Westlake HS, Thousand Oaks, CA
  34. Everley Pang. Sheepshead Bay HS, Brooklyn, NY
  35. Travis Kimes. Santa Ynez HS, Solvang, CA
  36. Andy Curtis. North Hopkins HS, Madisonville, KY
  37. Cassie King. Cresskill HS, Cresskill, NJ
  38. Edward Cheng. Macleans College, Bucklands Beach, Auckland, New Zealand
  39. Eric Duncan. North Hopkins HS, Madisonville, KY
  40. Ama Peters. Rathdown School, Glenageary, Ireland
  41. Sylvain Bouchard. Pere-Marquette, Montreal, Quebec, Canada
  42. Mark Durand. Medford Public HS, Medford, MN
  43. Tonya Dempsey. Medford Public HS, Medford, MN
  44. Dustin Morgan. Medford Public HS, Medford, MN
  45. Kevin DeCoux. Medford Public HS, Medford, MN
  46. Matt Needham. Medford Public HS, Medford, MN
  47. Matt Gasner. Medford Public HS, Medford, MN
  48. Matt Larson. Medford Public HS, Medford, MN
  49. Tommy Cheng. Macleans College, Bucklands Beach, Auckland, New Zealand
  50. Vaclav Rohlik. Masarykova Stredni Skola Chemicka, Czech Republic
  51. Ronald Renelick, Ipswich HS, Ipswich, MA
  52. Melvin Lee. Long Beach Polytechnic HS, Long Beach, CA
  53. Andrew Lee. Long Beach Polytechnic HS, Long Beach, CA
  54. Sameer Akhtar. T.L. Kennedy S.S., Mississauga, Ontario, Canada
  55. Jason Donald. Merritt Island HS, Merritt Island, FL
  56. Camilo Franco. Colegio Nueva York, Bogota, Colombia
  57. Wojciech Lewkowicz. Lemont HS, Lemont, IL
  58. Ming De Lin. Fair Lawn HS, Fair Lawn, NJ
  59. Nickolas Galyen. Muhlenberg South HS, Greenville, KY
  60. Grace Wen. Dumont HS, Dumont, NJ