Well, the simple answer is how much are your damages. You see if you had a hit and run you are likely dealing with your uninsured motorist, meaning you never were able to catch the at-fault driver to obtain his insurance information.
So, different rules apply, but for the most part if you have uninsured motorist coverage (it is optional) then you have coverage on your claim. How much, well that depends on the limits you purchased and the amount of damage.
For more specific information on your quesiton contact a Georgia personal injury attorney and they will be happy to help you further.