Radius of curvature
Radius of the circle which best approximates a curve at a given point / From Wikipedia, the free encyclopedia
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This article is about the general mathematical concept. For its optical applications, see Radius of curvature (optics).
In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof.[1][2][3]