We can solve this by calculating the arch lengths on the track and adding them to the straight lengths on the track.
To calculate the arch lengths, we can pretend the arches are semicircles and calculate the arch length. We know that the diameter is 100 meters, and the circumference formula is diameter times pi. 100 times pi is 314, using 3.14 as pi, but we divide this by two since we are calculating the arch length of a semicircle, not a full circle. Dividing 314 by two gives us 157. However, we multiply this by two since we have to include the other arch's length and the lengths are the same, giving us 314 again. adding this to 200, the straight side lengths of the track, we get our final answer, 514 meters.