Not involved or committed to a particular activity or task. The students appeared unengaged during the lecture, with many of them looking at their phones.
Not emotionally or mentally involved in a situation or relationship. He seemed unengaged in the conversation, often staring off into the distance.
Free or available; not busy or occupied. The consultant was unengaged and able to see us right away.
Not betrothed or promised in marriage; single. She was unengaged and in no hurry to settle down.
(Of machinery or parts) Not interlocked, meshed, or active. Ensure the gears are unengaged before starting the engine.