Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (yrs) 8
Communication Breakdown; Distraction; Situational Awareness
ATC Issue All Types; Inflight Event / Encounter CFTT / CFIT
Air Traffic Control Issued New Clearance
Weather; Human Factors; Airspace Structure; Aircraft
Aircraft X was holding at 3;000 ft. several miles northeast of a 4;000 ft. MVA (Minimum Vectoring Altitude). Aircraft X requested to proceed to a fix to begin an RNAV approach. The vector 170 was issued to keep Aircraft X from entering the 4;000 ft. MVA.  Shortly afterwards; there was a minor unrelated occurrence that required some coordination with an adjacent facility. I allowed my attention to be diverted momentarily; and when I looked back at Aircraft X; I noticed he had just slightly clipped the 4;000 ft. MVA while still at 3;000 ft. I do NOT believe this was any kind of pilot error; I suspect it was due to wind or the pilot turning slower than expected; or perhaps I should have initially issued a wider turn to keep clear of the 4;000 ft. MVA. The pilot exited the corner of the MVA shortly afterwards and did not report any issue. I should have stayed more vigilant; and possibly issued a wider initial vector to ensure against wind or slower than expected turns.
A TRACON Controller reported they issued an insufficient vector to an aircraft to avoid a higher Minimum Vectoring Altitude area.