**Definitionâ€“** Radius of curvature is the radius of the circular arc which best approximates the curve at that point or you can say the best fit circle for the curve at a given point.

Mathematically, its function is defined as

In physics we know that

where is the component of force perpendicular to the velocity at a given point.

and

where is the unit vector along

We can write

where m is the mass of the particle.

=

Therefore,

=

= = =