All this means is that there is a transformer in the power circuit that isolates you from the "mains", ""line voltage", essentially the current source that you plug the radio, or other device into for power.
This allows a greater degree of saftey because it can limit the amount of current you may accidently come into contact while servicing hte radio. There are some other factors too regarding current.
Second and more importantly, if there should be faulty wiring in the radio, or in the house wiring that can lead to a shock hazard by just touching the chassis, isolating the radio with a transformer reduces that danger if you happen to have been in contact with "Earth ground". In a sense, the same reason birds can safely perch on power lines. There is not a complete path for current to flow.
: what is isolation through transformers?
: what is isolation through transformers?