No, a runner taking part in the 200m dash does not need to run around the end of a track in the traditional sense. In most outdoor tracks, the standard 200m race is run on a circular track, which typically means that the runners will start on a straight section and turn to complete the lap.
In competitions, the race begins at a staggered starting line to ensure that all runners cover the same distance despite the curve of the track. Each lane is designed to keep the distance equal, so when runners complete the lap, they don’t have to navigate around the end in an extra manner. Instead, they smoothly transition into the curve after starting on the straights.
Therefore, while the track is indeed circular, the design and layout ensure that the race is a straightforward sprint without additional turns beyond the natural curve of the track.