United States Court of Appeals for the Tenth Circuit | 536 followers on LinkedIn. The federal courts of appeals are the intermediate appellate courts between the district (trial) courts and the Supreme Court of the United States. There are thirteen courts of appeals: eleven numbered circuits (First through Eleventh), the District of Columbia Circuit, and the Federal Circuit. The numbered circuits, including the Tenth Circuit, provide appellate review of all cases tried in the district courts within the geographic area of their jurisdiction; they also decide appeals brought to them by residents of the circuit from various administrative tribunals, including the Tax Court and agencies of the federal government.