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The radius of curvature is the radius of an approximating circle passing through points on the curve. 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. Any approximate radius of a circle at any point is called the radius of curvature . As we move further to the curve, the radius of the curvature alters or modifies.
