# Conversion between Cartesian and Polar Coordinates in Plane/Examples

## Examples of Use of Conversion between Cartesian and Polar Coordinates in Plane

### Example: $\polar {4, \dfrac \pi 3}$

The point $P$ defined in polar coordinates as:

$P = \polar {4, \dfrac \pi 3}$

can be expressed in the corresponding Cartesian coordinates as:

$P = \tuple {2, 2 \sqrt 3}$

### Example: $\polar {-2, -\dfrac \pi 4}$

The point $P$ defined in polar coordinates as:

$P = \polar {-2, -\dfrac \pi 4}$

can be expressed in the corresponding Cartesian coordinates as:

$P = \tuple {\sqrt 2, -\sqrt 2}$