I love this in batiks and you did a great job of figureing it out. I've seen this done and, if I remember correctly, you are doing it the same way. I didn't know that there were machines that would sew a circle. Unfortunately my machine doesn't so I would have to draw a circle and stitch around the circle. Where/how did you turn the circle after is was sewn right sides together - - a slit under what subsequently is stitched down on the back of the quilt?