What is the probability that a randomly drawn chord will be longer than the radius of the circle?

Prove it.

(In reply to

re: Both right, but... by RoyCook)

I agree with RoyCook. Bryan takes "random" to mean the endpoints are uniformly distributed around the circle. np_rt has the chords uniformly distributed along the bisecting diameter. These are most definitely NOT the same, particularly near the ends of the diameter.

I think Bryan's choice of "random" is much more natural, and probably what DJ had in mind.

*Edited on ***October 9, 2003, 4:47 pm**