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The curvature of a curve is equal to ____________

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The curvature of a curve is equal to ____________

(a) Reciprocal of radius of curvature

(b) Radius of Curvature

(c) Twice the radius of curvature

(d) One

The question was posed to me in an internship interview.

Question is taken from Evolutes in portion Differential Calculus of Engineering Mathematics

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The correct answer is (a) Reciprocal of radius of curvature

To elaborate: Curvature is the property of a curve by which the curve deviates from that of a straight line. It is equal to the reciprocal of the radius of curvature of the curve. The radius of curvature is equal to the radius of the curve by magnitude.

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