To make a hanger for my altered CD, I first took a piece of cardstock and cut it approximately 1/2 inch wide by 4 inches long. Heavier creations may require plastic or strong fabric, or some other sturdy but pliable material.
See the first strip: I have placed marks after every inch.
Fold the strip in half (see the second example.)
Then, fold the two sides up to make the piece look like the third example. I am using scrap cardstock, which is strong enough to hold the CD.
Place glue on the inner middle half of the strip to glue it together tightly. I used a binder clip to hold the strip together while it dried, as shown in the fourth example.
After your hanger has dried thoroughly, using your eyelet setter, set an eyelet in the glued part, as shown in the fifth example.
Using your strongest glue, glue the two end tabs to your CD. You may want to trim the tab down a bit. Heavier hangings may require more than one hanger.