Cartesian-to-Polar-Coordinates Equations
The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. These can be directly translated into Cartesian coordinates.
The x coordinate equals the radial coordinate times the cosine of the angular coordinate. The y coordinate equals the radial coordinate times the sine of the angular coordinate.
Formula
![Copy to Clipboard {QuantityVariable["x", "Distance"] == Cos[QuantityVariable["ϕ", "Angle"]]*QuantityVariable["r", "Radius"], QuantityVariable["y", "Distance"] == QuantityVariable["r", "Radius"]*Sin[QuantityVariable["ϕ", "Angle"]]}](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/4c8/4c8f46f9-d343-4b82-a3e8-2c5cb19e76b8/Webpage/FormulaImage.png)