Wonder :

Wonder about something = feel curiosity, ask oneself etc

Examples.

• 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.

Examples.

• 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.