A rim for a braked aircraft wheel includes an outer circular portion whose ends are terminated flanges for receiving a tire. The outer circular portion is connected by a wheel disk to a hub for fitting on an undercarriage axle in order to rotate about an axis of rotation coinciding with a central axis of the rim. The rim is designed to receive the tire on the outside of the outer circular portion and a brake on the inside of the outer circular portion, the outer circular portion presenting on one side of the wheel disk that is to receive the brake, in a plane containing the central axis of the wheel, a profile that has two slopes forming non-zero angles with the central axis, the two slopes extending in the continuation of one another from the wheel disk to the corresponding flange and flaring towards said corresponding flange.