Ignoring the width of the track, find the area (in terms of r) enclosed by each of the following configurations:
1) As the train goes around the track clockwise it goes 5 turns right then 1 turn left. This pattern continues twice.
2) 6 right 2 left, twice.
3) 5 right 1 left 1 right 1 left, twice.
4) 3 right 1 left, four times.
5) 4 right 1 left 2 right 1 left, twice.
6) 5 right 1 left 2 right 1 left 5 right 2 left.
Bonus: Are there any other configurations using 16 or fewer of these pieces?
