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Cut a piece of sandpaper into a circle a little larger than the disc. Center the disc on the back of the sandpaper, and use a pencil to trace the disc's circumference onto the sandpaper (Image 1). Using scissors, make closely spaced radial cuts on the sandpaper up to the line you just drew (Image 2).
Insert a carriage bolt into the center of the small wood disc. Use rubber cement to attach the sandpaper to the disc. Allow the cement to dry.