'fibroangioma' is built from the combining form 'fibro-' and 'angioma'. 'fibro-' originates from Latin, specifically the word 'fibra', where 'fibra' meant 'fiber' or 'thread'. 'angioma' originates from Greek, specifically the word 'angeion', where 'angeion' meant 'vessel', and the suffix '-oma' meant 'tumor'.

'fibro-' came from Latin 'fibra' and entered medical formation as 'fibro-' in New Latin/Modern medical English; 'angioma' came from Greek 'angeion' combined with the suffix '-oma' in Late/Medical Latin to form 'angioma', and the modern compound 'fibroangioma' was formed in medical English by joining these elements.

Originally, 'angioma' referred broadly to a blood-vessel tumor, and 'fibro-' referred to fibrous tissue; over time the compounded term 'fibroangioma' came to specify a tumor containing both fibrous tissue and vascular elements (a vascular fibrous lesion).