In Exercises use the Second Theorem of Pappus, which is stated as follows. If a segment of a plane curve C is revolved about an axis that does not intersect the curve (except possibly at its endpoints), the area S of the resulting surface of revolution is equal to the product of the length of C times the distance d traveled by the centroid of C.

A torus is formed by revolving the graph of (x - 1)² + y² = 1 about the y-axis. Find the surface area of the torus.