Actually, it depends on how you define the "distance traveled" I would argue the distance traveled by the minute handle is 90° or pi/2 rad.

The distance traveled by the tip of the minute handle is pi/2 times 14 cm, i. e. (as stated before) 7pi or about 21.991 cm.

Equally unambiguous would be the area swept by the minute handle (assuming it doesn't have a tail). Which would be equal to pi times 14 squared divided by 4, or 49 pi being about 153.938 square cm.