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

Prove it.

(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.