Sew your strips end to end using a 1/4 " seam allowance.
When you are approaching your starting point stop approximately 8" from the beginning tail. Remove project from machine, lay project flat and measure binding so it overlaps the beginning tail 1/4". Sew loose ends together as illustrated. Then continue sewing binding as before until you reach the beginning stitches.
Hand sew in place using a blind hem stitch.