The Circular Conundrum: Unraveling the Mysteries of the SAT Circle Problem

In the annals of standardized testing, one question stood out from the rest, mystifying thousands of students in 1982. The question was deceptively simple, yet it stumped every single test-taker. It reads: "In the figure above, the radius of circle A is 1/3 the radius of circle B. Starting from the position shown in the figure, circle A rolls around circle B. At the end of how many revolutions of circle A will the center of the circle first reach its starting point?"