If a curve is defined parametrically as
where
is the length along the curve from some point, then the radius of curvature of the curve is
We can prove this using the Frenet formula
Since
is a unit vector,
Hence
Call Us 07766496223
If a curve is defined parametrically aswhereis the length along the curve from some point, then the radius of curvature of the curve is
We can prove this using the Frenet formula
Sinceis a unit vector,
Hence