the present invention relates to a disc for abrading which is fitted to an electrically driven tool and is able to freely abrade flat surfaces and curved surfaces . and provided is a disc for abrading flat surfaces and curved surfaces , wherein the disc comprises : a holder of a plastic material , which rotates following the coupling of the electrically driven tool into a coupling hole formed in the centre thereof ; a disc - shaped abrasive - fabric assembly formed by stacking layers of a plurality of abrasive - fabric pieces circumferentially along the edge of the holder ; a resin layer for integrally linking the holder and the abrasive - fabric assembly ; and a circular curving part which is formed between the edge of the holder and the edge of the abrasive - fabric assembly , and wherein the curving part can flex along the surface of a material to be abraded , so as to freely abrade a flat surface or curved surface of the material to be abraded .