(1)
where
for
a curve expressed in cartesian coordinates
and
(2)
for a curve given in parametric coordinates
A Level Maths Notes: FP2 – Calculation of Curvature - Examples
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 use
to
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).
