Bearing in mind that in the UK, you have to give way ("yield") to
traffic to your the right (already on a roundabout), this gives those
entering junctions a fairly even chance of joining the traffic flow

When I drove in the UK, instead of keeping the left/right thing straight, it is easier to remember....

the guy already in the circle has the right of way.

New Jersey has had traffic circles for years and has been working to remove them. They are kind of insane on 60 mph highways, but not so bad on local roads.

Mark