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Strike a Chord (..Any Chord) (Posted on 2003-10-09) Difficulty: 4 of 5
What is the probability that a randomly drawn chord will be longer than the radius of the circle?

Prove it.

No Solution Yet Submitted by DJ    
Rating: 4.5263 (19 votes)

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re(2): Different Approach (Continued) | Comment 24 of 51 |
(In reply to re: Different Approach (Continued) by Brian Smith)

Brian, Thanks for your comment. I realize that I used a finite number of chords for determining the probability of a randomly drawn chord exceeding the radius in lenght. I thought at the time that intervals of 1 degree should be reasonably precise. After reading your comment, I refined the measurment by using one-tenth of one degree for the intervals. As you probably suspect, the total was slightly greater but by only very little (less than 1%). Accordingly, I concluded that my answer was "reasonably close". Best regards, Gordon S.
  Posted by Gordon Steel on 2003-10-14 15:45:22

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