I pressed both buttons and the circle did stop.
Then I started the iPad, got to my initial screen, and then shut it down again. The circle started to spin and did not stop.
I then pressed both buttons and the circle stopped again.
I do not consider this situation resolved.
What do I do next?
I have tried the following two times, both successfully:
I turned the iPad on, went to a few apps, tried a few things, then went back to the initial screen.
I shut the iPad and it totally shut down.
I don't know why the circle kept turning the first time, but now it seems to work the way it should.
Thank you for your help.
I have connected my iPad to iTunes but I cannot find anything that says 'sync'. The bar has 'music', 'movies', 'TV shows', 'Ping', 'Podcasts', Audiobooks', 'iTunes U', 'Purchased' and 'Downloads'.
What do I do now?
No cable; just the iTunes app on my iPad. I don't have an Apple cable.