Current Events > Any mathematicians want to help me solve a tough problem?

(+) Yeah! (+)

Given 2 points randomly placed in a circle, what is the probability that the distance between the two points is greater than the sum of the shortest distances from each point to the outer edge of the circle?

The only thing I've figured out so far is that there's definitely a 1/16 chance that the distance will be less than the sum of the shortest distances.
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2+2=4-1 is 3

Quick mafs
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this is the kind of thing I'd write a program to throw a billion darts at.

not sure if that's an option here, though.
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I believe it's 2/3, but I could definitely be mistaken.
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So basically you need to land outside of the circle of R/2 radius, which has 1/4th of the surface.

I'd say it's just 3/4*3/4.

EDIT: Hmm, and they need to be far apart from eachother. This smells like an integral.
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bump
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D) All of the above
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