Question

Question 26:
The reciprocal of radius of curvature is
called​

Answer 1

Radius of Curvature

The radius of curvature ‘R’ in differential geometry is the reciprocal of the curvature. Besides, the radius of the circular arc is the best approximate the curve at that point. Also, for surfaces, the radius of the curvature is the radius of the circle that fits best in a normal section or combination.

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.