Compact rolled-up nanomembranes of high quality (111)-oriented Co/Pt multilayers with perpendicular magnetic anisotropy are realized by combining strain engineering with top-down preparation methods. Magnetic force microscopy analyses were performed in the demagnetized state and under magnetic fields applied on rolled-up Co/Pt tubes. Observed magnetic domains are composed of radially polarized stripe-shaped domains. The stripes running along the rolled-up tubes axis are observed for magnetic fields applied along this direction, whereas a salmon-like pattern is observed for magnetic fields applied along the tube diameter. Present results indicate potential for applications as magnetic encoders and servo motors.