Calculation of curvature is given using the formula(1) wherefor a curve expressed in cartesian coordinatesand (2) for a curve given in parametric coordinates

Example:Find the curvature of

Use (1).

Now useto obtain

Sub into (1).

Example:Find the curvature of

Use (1).

.

Sub into (1).

Example:Find the curvature of the curve given by the parametric coordinates

Use (2).

Sub into (2).