The Fairfax Circuit Court serves the residents of Fairfax County and Fairfax City.The Fairfax Circuit Court (19th Judicial Circuit) is the trial court of general jurisdiction and is the largest trial court in Virginia, composed of fifteen full-time trial judges.It has authority to try a full range of cases, both civil and criminal, jury and non-jury.he Fairfax Circuit Court serves the residents of Fairfax County and Fairfax City.