Rink
late Middle English (originally Scots in the sense ‘jousting ground’): perhaps originally from Old French renc ‘rank’.
wiktionary
From Middle English rink, renk, from Old English rinc(“man, warrior, hero”), from Proto-Germanic *rankiz(“upright man”), from *rankaz(“straight, upright”), from Proto-Indo-European *reǵ-(“straight, direct”). Cognate with Scots rink, renk(“man, warrior, hero”), Old Saxon rink(“man”), Old Norse rekkr(“a straight or upright man”), Old English ranc(“proud, noble, valiant”). More at rank.
From Middle English rink, rynk, variation of ring(“ring”); compare Low German rink(“ring, circle”), Middle High German rinc(“a ring, circle”). Doublet of ring.
etymonline
rink (n.)
late 14c., "measured ground for a combat, joust, race., etc.," in a Scottish source, and according to OED "Until the latter part of the 19thy cent. only in Sc. use;" probably from Old French renc, reng "row, line," from Frankish or another Germanic source, from Proto-Germanic *hringaz "something curved, circle" (from PIE root *sker- (2) "to turn, bend"). But probably much confused in meaning with ring (n.1), also used for "area marked out for a sporting contest."
By 1787 (Burns) as "a sheet of ice measured off for curling;" extended to smooth wooden floors for roller-skating by 1875, to ice surfaces measured for ice hockey by 1896. By 1895 as "building containing a skating rink."