We use both round and around (AmEusually around) for movement or
position in a circle or a curve.
She walked (a)round the car and looked at the wheels.
I’d like to travel (a)round the world.
Where do you live? ~ Just (a)round the corner.
We also use round or around (AmEn usually around) to talk about going to all (or most) parts of a place, or giving things to everybody in a group.
We walked (a)round the old part of the town.
Can I look (a)round? Could you pass the cups (a)round, please?
Around and About
We use around or about (AmEn usually around) to refer to movements or
positions that are not very clear or definite: ‘here and there’, ‘in lots of places’, ‘in different parts of’, ‘somewhere in’ and similar ideas.
The children were running around/about everywhere.
Stop standing around/about and do some work.
Where’s John? ~ Somewhere around/about.
I like doing odd jobs around/about the house.
We also use these words in some common expressions to talk about
time-wasting or silly activity.
Stop fooling around/about. We’re late.
About (less often around) can mean ‘approximately’, ‘not exactly’.
There were about/around fifty people there.
What time shall I come? About/Around eight.