Here is the formula for finding the length to cut for rings, heavy round bezels, jar lids, etc. I found it in a technical manual and have used it sucessfully for years.
I.D. + thickness x 3.14 (Pi) = cut length
Pi x Diameter is the formula for the circumference. Adding the thickness to the I.D. before mulitplying to Pi compensates for the extra length needed for the material ouside of the circumference. The thicker the material, the longer the strip for the band needs to be.
How To: Measure, in millimeters, across the inside diameter of the ring size with an accurate ring gauge, or measure the inside of a ring the person already wears, or look it up from one of the references previously given here.
(PEPE's ring mandrels and ring gauges are matched - an industry first!)
Add the thickness of the material to the I.D. then multiply the sum by 3.14 (Pi) and use this measurment in millimeters to accurately cut the correct length for the band.
John