Question

the reciprocal of the curvature of the curve is called
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Answer 1

Formula of the Radius of Curvature

Normally the formula of curvature is as:

R = 1 / K’

Here K is the curvature. Also, at a given point R is the radius of the osculating circle (An imaginary circle that we draw to know the radius of curvature). Besides, we can sometimes use symbol ρ (rho) in place of R for the denotation of a radius of curvature.

Answer 2

Answer:

The radius of curvature 'R' in differential geometry is the reciprocal of the curvature.

Explanation:

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 there.