Roundabouts are popping up all over the place, they are supposed to be safer but I've seen a number of accidents because folks get confused with the process until they get used to driving in roundabouts.
Here are a few tips to prevent accidents in roundabouts:
When you approach the roundabout - if there is a car already traveling, that car has the right away. Also, don't assume that the vehicle will be exiting before they reach you even though they are in the right lane. Folks are not used to roundabouts so don't take anything for granted.
If you are going to make a right turn, you can only make the turn from the right lane. Like the roadway, it's not a great idea to make right turn from left lanes. People will assume that if you are in the left lane that you are continuing in the roundabout. I've seen a number of accidents from folks who make a right turn from the inside (left lane).
Keep your car in its own lane. I've seen a number of accidents when cars drift right or left and clip a car next to them. Again, many drivers are not used to roundabouts and they tend to drift into the lane next to them when traveling in the roundabout, so you need to be careful about the vehicle that is driving next to you.