- 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 colony in the system, established in 2331, was located on this planet.
By 2365, three other colonies were present in the Boradis system, and nine other outposts were present in the sector.
In 2365 the USS Enterprise-D was on a mission just outside the system to intercept a Class-8 probe which carried Special Federation Emissary K'Ehleyr. Data and Commander Riker gave a brief description of the systems history to Captain Picard. (TNG: "The Emissary")
According to the script for this episode, the name of this planet was pronounced "bo-RAD-iss." 
According to the Star Trek: Star Charts, on the chart "United Federation of Planets I", Boradis III was listed as a member planet of the Federation in 2378.