During the slowing-down process, fast ions injected into a tokamak plasma may pitch-angle-scatter into orbits whose deviations from flux surfaces are of order a, the limiter radius. Ions on such orbits may hit the wall or limiter or be charge-exchanged out of the system and are thus in the "loss region". The boundary of this region is calculated and its effect on plasma heating by neutral-beam injection is evaluated by using the Fokker-Planck equation. In present injection experiments, the loss region may have a significant effect if the impurity level of the plasma is high. Counter-injected ions are more strongly affected by the loss region than are co-injected ions since they have to scatter through a smaller pitch angle to reach it.