Question

Derive radius of curvature in polar form

Answer 1

Step-by-step explanation:

The radius of curvatureof a curve at a point M(x,y) is called the inverse of the curvatureK of the curve at this point: R=1K. Hence for plane curves given by the explicit equation y=f(x), the radius of curvature at a point M(x,y) is given by the following expression: R=[1+(y′(x))2]32|y′′(x)|.