A) When we talk about a movement in many different directions (from one place to another), we can use any of AROUND, ROUND and ABOUT; e.g.

We spent a very pleasant day walking around the village.
= We spent a very pleasant day walking round the village.
= We spent a very pleasant day walking about the village.

B) When a movement is in circles or when one thing surrounds another we can use either of AROUND and ROUND (not ABOUT); e.g.

The earth moves around the sun.
= The earth moves round the sun.

She had a towel wrapped around his head.
= She had a towel wrapped round his head.

C) When we talk about something being generally present or available, we use either of AROUND and ABOUT (not ROUND); e.g.

We have a lot of good football players around at the moment.
= We have a lot of good football players about at the moment.

For more chapters/topics on English Grammar read the following book authored by me.

Link for buying the above book

For English Practice Sets on various topics read the following book authored by me.

Link for buying the above book