The minute hand completes one full circle in 60 minutes.
One full circle = 360°
The minute hand moves at a rate of:
60 minutes360°=6° per minute
Convert 1 hour 45 minutes to minutes:
1 hour=60 minutes
Total time =60+45=105 minutes
Angular distance covered = Rate × Time
Angular distance =6°×105
=630°
Therefore, the minute hand covers an angular distance of 630°.