What is the trick to beating the Beaver Bother minigame?

Solution 1:

There's not much of a secret as there's only so many things you can do. You have the right idea to try and get the ones in that are closest to the hole, however, the way in which you move may make a difference in how it is panning out. If you go straight at them, it does very little to nothing, but if you move toward them from the side, they will run away. Follow the circle around and around fairly closely and wrap your circle around the nearest beaver. They will move toward the hole.

Here's a great example of somebody who has figured this out:

And here's somebody doing it completely the wrong way:

So you can see the difference if you watch both.