I have made a fan quilt. My instructions were to cut the fan segments with a smooth outer edge, piece them together. Sew a piece of lace on the rounded edge, 1/4 inch seam. Then pin to the background piece,, which has been cut to fit the rest of the square plus 1/4 inch on the insid edge. I pin at each edge and in the middle. Then sew the fan to the background. This makes the seam very even and no hand sewinig. You can use lace or rickrack on the inner circle also.