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.

Curvature

Curvature calculator. Compute plane curve at a point, polar form, space curves, higher dimensions, arbitrary points, osculating circle, center and radius of curvature.

curvature of the polar curve r=t^3+2 near t=1/10

what is the curvature of (s, sin s, cos s) at s=2

curvature of {x(t)=t, y(t)=t^4, z(t)=t^2, w(t)=t} at t=1

osculating circle to (2cos[t], sin[t]) at t=pi/3

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Curvature

Curvature

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:

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