A Corolla or similar car isn't going to have any issues "orbiting" the roundabout, at least from the left hand lane. The TR lanes are made for even heavy semi-tractor-trailers to navigate, so generally the "straight" path is the one for turning radius restricted vehicles.
So far we've established that it's entirely possible to circulate the TR in a normal sized car if you so choose. A large vehicle such as an F350 crew-cab extended bed dually pulling a horse trailer, not so much.
Obviously the least anxiety inducing way thru the TR is to just follow the signage. As with all things "everything is easy when you know how". In my excursions thru various city-related urban jungles I've often missed an exit. Rather than panic I just keep on straight ahead-ish until I find a reasonable looking turn around point. Somehow the local folks don't seem to have quite the same issues that I as a newcomer to their particular traffic pattern do. Apparently "familiarity breeds contempt and/or children", as the case may be.