Basically there are two ways to know where are we on a graph or a map:
- cartesian coordinates
- polar coordinates
Cartesian coordinates tell us that “how far along” and “how far up” we are:
Polar coordinates tell us that “how far away” at “what angle” we are:
Both points to the same point.
To convert from Polar to Cartesian there is a simple method:
- x = r × cos( θ )
- y = r × sin( θ )
Where r is (now) 13, and θ is (now) 22.6°
To get the exact point in C#, let’s create this simple static method, within a static class:
public static class Converters { public static Point PolarToCartesian(double angle, double radius) { double angleRad = (Math.PI / 180.0) * (angle - 90); double x = radius * Math.Cos(angleRad); double y = radius * Math.Sin(angleRad); return new Point(x, y); } }
This converter could be useful even if you create your own control that’s rounded shaped.