- You may also be looking for the similarly named Barradas III.
Boradis III was the inhabited third planet of the Boradis system. The first Federation outpost in the system, established in 2331, was located on this planet. The planet had minimal defenses and was a soft target for a marauding warship.
In that year, the USS Enterprise-D was on a mission just outside the system to intercept a Class-8 probe which carried special emissary K'Ehleyr. Data and Commander Riker gave a brief description of the system's history to Captain Picard. (TNG: "The Emissary")
This planet was only mentioned in dialogue.
According to the Stellar Cartography: The Starfleet Reference Library ("Federation Historical Highlights, 2161-2385"), Boradis III was located in the Beta Quadrant.