Suppose a scientifically-minded bug goes around a small circle and finds the cir

Question

Suppose a scientifically-minded bug goes around a small circle and finds the circumference of a circle is less than 2p times the radius. Assume the bug lives on a surface of constant curvature. Is the curvature positive or negative? Explain the answer. please help and I will rate you lifesaver. Thanks Suppose a scientifically-minded bug goes around a small circle and finds the circumference of a circle is less than 2p times the radius. Assume the bug lives on a surface of constant curvature. Is the curvature positive or negative? Explain the answer. please help and I will rate you lifesaver. Thanks

Explanation / Answer

Hi there, I really don't know much about this topic at all, but I do know a couple of facts that might help you. In particular: 1) The curvature is equal to the inverse of the radius: K=1/r So it seems to me that if you had a negative curvature, then you would have to have a negative radius. I don't think it makes sense to have a negative length? This is really just a shot in the dark. I hope it was at least helpful. Good luck!

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