3. Wrapping a line around a circle - is there an easy solution? More info in the co...

Wrapping a line around a circle - is there an easy solution? More info in the comments

Okay so first off I'm really sorry for the terrible MS Paint diagram, I just don't have any other drawing tools at the moment.

So here's the problem and what I need in a solution:

I have a distance value, which is a positive real number, and I'm looking to turn that distance value to the coordinates of a point that is that arc length away from the top of the circle.

Basically, assume that the distance is a vector <d,0> where d is the distance - I want to find a vector <x,y> that has magnitude R, and an arc length d from <0,1> (with radius R).

I apologize for the bad diagram and probably really bad explanation, but I haven't done this kind of geometry in a long time and would really appreciate some help.

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