Heat oil to 1-1/2 inch depth in heavy skillet to 360 degrees.
Spoon the dough into a decorator's tube with large star tip for authentic-looking churros. Squeeze 4-inch strips of dough into hot oil. Fry 3 or 4 strips at a time until golden brown, turning once; about 2 minutes on each side.
Drain. Mix sugar and cinnamon in brown paper bag. Shake the churros in the sugar mixture.