# Definition:Curvature/Polar Form

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## Definition

Let $C$ be a curve defined by a real function which is twice differentiable.

Let $C$ be embedded in a polar plane.

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The **curvature** $\kappa$ of $C$ at a point:

- $P = \polar {r, \theta}$

is given by:

- $\kappa = \dfrac {\paren {\map \arctan {\dfrac {r \theta'} {r'} } }' + \theta'} {\paren {r'^2 + \paren {r \theta'}^2}^{1/2} }$

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## Also see

- Results about
**curvature**can be found**here**.

## Sources

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