Tip 1: When your circle is spinning and the circle ahead of you is spinning, you're going to have to line up the timing of the ball to get through the pink area on both of the circles. Neglect the circle you're in and you'll end up smashing yourself right away. Neglect the circle that you're shooting towards and you'll smash into that one.
Tip 2: However, quite a bit of the time, there will be no spinning action coming from the next circle. So when the next one is a circle like that, there is no lining up required except with the one that the ball is already inside of. Even better are the circles that are 100 percent pink area, meaning that all of the circle can be passed through.
Tip 3: Try to take your time so that you can line up a good shot, at least as much as possible. You still have to have a sense of urgency, because the walls that are surrounding your current circle will close in on you; however, don't rush or you will end up making a bad shot and smashing yourself into a circle.