Rotate a point by another point in 2D

Question

I want to know how to work out the new co-ordinates for a point when rotated by an angle relative to another point.

I have a block arrow and want to rotate it by an

Answer 1

If you are using GDI+ to do that, you can use Transform methods of the Graphics object:

graphics.TranslateTransform(point of origin);
graphics.RotateTransform(rotation angle);

Then draw the actual stuff.

Answer 2

If you have the System.Windows.Media namespace available, then you can use the built in transformations:

    using System.Windows.Media;

    var transform = new RotateTransform() {Angle = angleInDegrees, CenterX = center.X, CenterY = center.Y};
    var transformedPoint = transform.Transform(point);

Answer 3

If you rotate point (px, py) around point (ox, oy) by angle theta you'll get:

p'x = cos(theta) * (px-ox) - sin(theta) * (py-oy) + ox
p'y = sin(theta) * (px-ox) + cos(theta) * (py-oy) + oy