## #1,146 – Polar Coordinate System

August 28, 2014 1 Comment

In most cases when you’re working with graphical objects, you use a cartesian coordinate system, where each point is represented as an X and a Y value, indicating the point’s distance from an origin in two different dimensions.

You can also express points in a two-dimensional system using a *polar coordinate system*. Each point in a polar coordinate system is represented with two values:

- A
**radius**value, describing how far the point is from an origin (range is any non-negative number) - An
**angular coordinate**, describing how many degrees around the circle the point is located, typically from a horizontal ray extending to the right of the origin (range typically [0, 360) degrees or [0, 2*pi) radians)

Below is a picture showing two sample points expressed in polar coordinates.

- (2.0, 60) – Radius = 2, Angle = 60 degrees (counterclockwise) from horizontal
- (1.0, 180) – Radius = 1, Angle = 180 degrees (counterclockwise) from horizontal