I used polygon lasso to cut out the shape segment then edit>transform>rotate (setting the center point to the "tip" of the shape). I noted that I got a near exact angular transform at 20 degrees. I then duplicated the transformed layer and did a repeat transform, specifying 20 degrees (Ctrl-Shift-T), duplicated again and repeated, etc. until the full circle was made. An action would have been better, but for a one off thing it didn't seem worth it. Sorry it wasn't the effect you were looking for, though. Perhaps Radial Blur would help?