Annette and Kathryn's distinctions between circuit-style routines and interval routines are largely correct, especially Kathryn's comment that a circuit workout can be strictly resistance training as well. I wish more ostensibly trained instructors understood what Annette and Kathryn understand.
Interval training is for cardiovascular conditioning. If your heart rate and breathing rates are exceptionally elevated during circuit-style resistance cycles, especially those cycles that are not leg-targeted, the elevated heart rate can be the result of other overloads on the body (the pressor response) that does not have much to do with the cardiovascular / cardiorespiratory system. Certainly you will be working intensely through the resistance cycles, but cardio benefit is not their main purpose, nor should cardio / respiratory overload be an overriding result of that particular cycle.
A-Jock