Why (logically) covering hair than face is more well-known in the rulings of Hijab?

Muslims unanimously agree that a believing women must cover her hair as part of obligatory hijab. However, there isn't a well-known consensus regarding the covering of face. I have already read many answers on this site regarding this and learnt this fact. But, what I can't understand, is that what could be the logical reasons (if any) behind this ? More attraction and lust is created from the face of a women than her hair, then **WHY** covering hair than face is more famous and important in the shariah ?