In one of the Wiccan Traditions in which I am trained we cast the circle by walking deosil (clockwise) and we took our circles down while walking widdershins (counterclockwise).
In the other Tradition in which I now work we both put the circle up and take it down while walking deosil.
Typically moving widdershins was used to banishing, endings, etc. That's why we used it in my first Trad for taking down the circle. Deosil, on the other hand, is used for gathering in energy, etc.
As a solitary you can cast and take down your circle in whatever way is most meaningful to you. Understanding what the two methods of movement signify will help you know what your are actually doing with your movement.