Curvature is a value equal to the reciprocal of the radius of the circle or sphere that best approximates the curve at a given point. This can be computed for functions and parameterized curves in various coordinate systems and dimensions. Related properties, such as the radius of curvature and center of curvature, are also easily computed by Wolfram|Alpha.


Compute curvature for functions and curves in various coordinate systems.

compute the curvature of a plane curve at a point

specify the curve in polar form

compute the curvature of a space curve

compute a curvature in higher dimensions

compute the curvature at an arbitrary point

compute an osculating circle

compute a center of curvature

compute a radius of curvature

More examples