'ring-shapedness' originates from English, specifically the words 'ring', 'shape' and the suffix '-ness', where 'ring' meant 'circle', 'shape' meant 'form', and the suffix '-ness' formed an abstract noun meaning 'state or quality'.

'ring' changed from Old English 'hring' and kept the basic sense 'circle'; 'shape' comes from Old English 'sceap' / 'sceppan' (to form, create) and later Middle English 'shape'; the suffix '-ness' comes from Old English '-nes(s)a' and has been used to form abstract nouns in Modern English. These elements were compounded in Modern English to form 'ring-shapedness'.

Initially the components meant 'circle' (ring), 'form' (shape) and a noun-forming quality marker ('-ness'); over time they were combined compositionally to mean the specific modern notion 'the quality of being ring-shaped'.