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

Prove it.

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