The Cats struggled shooting the ball, hitting 33 of 73 (45.2 percent) from the floor, including just two of 18 (11.1 percent) from behind the arc.
However, UK turned defense into offense, forcing 16 Radford turnovers and turning those into 18 points.
Kentucky returns to action on Friday, hosting Morehead State at Memorial Coliseum. Tipoff is set for 7 p.m. and the game can be seen on SEC Network Plus.