A cycloid is generated by tracing a point on the edge of a circle as the circle is rolled along a line. The formula for finding the area under a single lobe of this figure is 3πr^2 [3 times pi times r squared], where r is the radius of the circle. What fraction of the area of a cycloid generated by a circle of radius r is the area of a cycloid generated by a circle of radius r/2 [r divided by 2]?