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Points On A Circle II (Posted on 2010-07-13) Difficulty: 3 of 5
Refer to Points On A Circle.

(A) Seven points are placed on the circumference of a circle such that the distance between any two of the points, measured along the circumference, is an integer.

What is the smallest radius of the circle, given that each of the distances is unique?

(B) Seven points are placed on the circumference of a circle such that the distance between any two of the points, measured as a straight line, is an integer.

Determine the smallest radius of the circle. What is the smallest radius of the circle, given that it is rational?

Note: In Part (B) each of the distances may or may not be unique.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Thoughts on Part (B)Dej Mar2010-07-16 19:41:44
re: Thoughts on Part (B)Steve Herman2010-07-16 16:07:45
Some ThoughtsThoughts on Part (B)Dej Mar2010-07-16 08:15:00
re(4): Part A - a further reductionSteve Herman2010-07-16 02:49:45
re(3): Part A - a further reductionDej Mar2010-07-15 17:50:47
re(2): Part A - a further reductionHarry2010-07-15 13:26:52
re: Part A - a further reductionDej Mar2010-07-15 04:32:47
Golomb RulersBrian Smith2010-07-14 12:14:55
Part A - a further reductionHarry2010-07-14 00:40:11
A slightly lower upper bound (part A)Steve Herman2010-07-13 15:42:38
A better upper bound (part A)Steve Herman2010-07-13 13:39:20
Some ThoughtsUpper and Lower bounds (part A)Steve Herman2010-07-13 12:50:46
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