Wonder about something = feel curiosity, ask oneself etc
- I wonder why he came all the way from Mumbai for such a small function.
- I wonder why the Mayor came late. Usually he is very punctual and keeps up timeliness.
- He was wondering how to get the tickets for the magic show.
- She was wondering what made me so angry about her plan.
- I was wondering about how he could be saved from the risk.
You can introduce a Request or Enquiry by saying ‘ I wonder if / I wonder whether ‘ when you are very polite.
- I wonder if you would mind closing the window.
- I wonder whether you would care to join us.
- I wonder whether you could lend me your umbrella.