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

Prove it.

(In reply to

I'm no mathemetician: by Benjamin J. Ladd)

I actually (after thinking about it) think that this is a safe way of determining the probability. If you take a point at random in the circle you can always form a chord out of that line such that the radius runs perpendicular through the point. Because every chord formed in a circle can be represented in such fashion by such points (only one point necessary), the area that was presented in my proof should account for the infinite amount of chords (and chords) that can be taken at random.