Dell -- if your radius is exactly 10", then your diameter must be 20"... Except perhaps if one of the following is happening:
1. not a circle: perhaps the center pin moved/slipped as you went around?
2. diameter measurement not taken through center: The radius is the radius, but the diameter can be misleading... did you measure the 19 7/8 through the exact center?
3. measuring tool innaccurate: if you are using a tape, the metal hook may not be moving to accomodate inside (handheld hook for radius?) vs. outside (hook on circle circumference?) measurements. Or some measuring sticks may be innacurate at the tips... I have a try square where the first 8th of an inch is a bit more.
I would suggest checking your measuring tool, and then measuring the radius in multiple spots on the circle to see if it is really 10" everywhere. I will be interested to see how this mystery is solved.