Just looking at your image I would say when putting the circle in place you need to cut it so the red precisely lines up with rhe black lines, I would suggest making both the same lline weight such as 4pt and increase the zoom so you can get a clear view of how both line up then select both and slice(Ctrl 4) you can always change the lpne weight.

OK I did a tutorial as how i did it. Maybre someone else here knows a better way.Click image for larger version. 

Name:	triangle.png 
Views:	97 
Size:	8.7 KB 
ID:	126304

Trianglr.xar