So I am currently in 11th grade, and taking precalculus, college algebra/trigonometry, and physics. I have asked all of my teachers this just random question that popped into my head one day, and no one has been able to even come close.

(keep in mind this is kinda hard to explain) So say you have a sphere with arbitrary radius

*r, *and say I were to "draw" a one dimensional line on the surface of that sphere, with a length equal to the radius,

*r. *and then I draw two more of these lines on this sphere, with the points at the end of each line ending on the end of another. Now I would have an equilateral

triangle graphed on the surface of a sphere, with the triangle having sides equal to the radius of the sphere. My question is, how many of those triangles would i be able to fit on the surface of the sphere? Would it be a 'nice' number like 6pi or 8pi? Proof / Work?

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