This technique works for me but not exactly as shown in everyone's nicely made examples.

After I Convert circle to Editable Shapes, Select points using the Shape Editor Tool, Right-click and "break at points" it remains one piece.

I then need to select "Join Shapes" from the "Arrange" menu then immediately select "Break Shapes" from the same "Arrange" menu for it to work. I then get two pieces. Not a big deal but..... What am I missing?

My version is Xara Xtream 4.0.1.5601 CD I believe I have the lastest patch