If i remember correctly, at the end of a level (when you actually cross the finish) you can press the save button, and it loads in your download browser folder !
For this level, you need to start in a specific angle, so when you rotate you really are sticking to the left wall, and rotate just enough for your tail to hit the finish.
The correct way is still going all around of course. But seing your path I guess you're not looking for this :)
Thanks for your time playing