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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

{QuantityVariable["x", "Distance"] == Cos[QuantityVariable["ϕ", "Angle"]]*QuantityVariable["r", "Radius"], QuantityVariable["y", "Distance"] == QuantityVariable["r", "Radius"]*Sin[QuantityVariable["ϕ", "Angle"]]}

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