A pant-like absorbent garment having curved leg cuffs has a gasket-like fit. A chassis of the absorbent garment defines first and second leg openings with curved cut-outs in the chassis. A bonded portion is located between a first portion and a second portion of each of two elastic strands. The bonded portions are bonded to the first and second leg openings about a periphery of the curved cut-outs, thereby forming finished seams. Second portions of the elastic strands can form rolled edges. The resulting absorbent garment has a comfortable, gasket-like fit and an aesthetically pleasing, finished look about the leg openings.