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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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Different Approach (Continued) | Comment 22 of 51 |
This is carried over from the immediately prior comment. We have shown that 2Rsin(alpha/2)must be >R. Dividing both sides by R, we obtain sin(alpha/)>1/2. Taking the sine function for every degree from 0 to 179, this occurs 119 times out of 180, or some 66.1%. Gordon S.
  Posted by Gordon Steel on 2003-10-13 16:03:32
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