# Real plane/Polar coordinates/Angle naive/Example

An angle and a positive real number define a unique point

in the real plane . Here, is the distance between the point and the zero point and means the intersecting point of the ray through with the unit circle. Every point
has a unique representation with
and with an angle , which has to be chosen accordingly
(the zero point is represented by
and an arbitrary angle).
The components are called the *polar coordinates* of .