Question

(e)
Define curvature of curves. Give an example of a curve
whose curvature is nonzero but constant.
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Answer 1

Answer:

Intuitively, the curvature is the amount by which a curve deviates from being a straight line, or a surface deviates from being a plane. For curves, the canonical example is that of a circle, which has a curvature equal to the reciprocal of its radius. Smaller circles bend more sharply, and hence have higher curvature.

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