precinct

Precinct entered Middle English in the early 15th century meaning a district for government purposes, from Medieval Latin precinctum, a form of praecinctum, meaning 'enclosure' or 'boundary line'.

That Latin noun comes from praecingō, 'surround, gird' — literally 'before' (prae) plus 'encircle' (cingō) — so the word began as an act of girding something in and settled into naming the bounded district itself.

It's cognate with Italian precingere, 'to encircle,' and shares its root cingō with the English word cinch.