# #1,148 – Sample Code to Convert from Polar to Cartesian Coordinates

Below is some simple code (not productized) that can convert from two-dimensional polar to cartesian coordinates.

```    public class PolarPoint
{
// Angle expressed in degrees
{
throw new ArgumentException("Radius must be non-negative");
if ((angleDeg < 0) || (angleDeg >= 360.0))
throw new ArgumentException("Angle must be in range [0,360)");

AngleDeg = angleDeg;
}

// Polar coordinates
public double Radius { get; set; }
public double AngleDeg { get; set; }

// Cartesian coordinates
public double X
{
get { return Radius * Math.Cos(AngleDeg * Math.PI / 180.0); }
}

public double Y
{
get { return Radius * Math.Sin(AngleDeg * Math.PI / 180.0); }
}

public override string ToString()
{
return string.Format("({0},{1})", X, Y);
}
}
```

We can then use this class as follows.

```            Console.WriteLine(new PolarPoint(0.0, 0.0));
Console.WriteLine(new PolarPoint(1.0, 0.0));
Console.WriteLine(new PolarPoint(1.0, 45.0));
Console.WriteLine(new PolarPoint(1.0, 90.0));
Console.WriteLine(new PolarPoint(1.0, 135.0));
Console.WriteLine(new PolarPoint(1.0, 180.0));
```