'band-shaped' is a compound of the noun 'band' and the suffix '-shaped'. 'band' comes from Old Norse/Old English 'band'/'bænd' meaning 'something that binds', while the suffix '-shaped' derives from Old English roots for 'shape' (words like 'sceap'/'scieppan') meaning 'form' or 'create'.

'band' evolved from Old Norse/Old English 'band'/'bænd' into Middle English 'band' and then modern English 'band'; 'shape' comes from Old English forms (e.g. 'sceap') which became Middle English 'shapen' and modern 'shape'. The modern compound 'band-shaped' was formed by combining the noun 'band' with the productive adjectival suffix '-shaped'.

Initially, 'band' primarily referred to a 'tie' or 'bond' and 'shape' to 'form/creation', but the compound came to mean specifically 'having the form of a band' (i.e., belt- or ribbon-like) rather than implying 'binding'.