A uniform magnetic field is created in a region in space, as represented by the grey arrows in the diagram below. Four circular loops A, B, C, and D are placed in the magnetic field. The planes of loops A and B are oriented perpendicularly to the direction of the field; the planes of loops C and D are oriented parallel to the field.

Loops A and C are the same size, with radius . Loops B and D are the same size, with radius . Note that .

Which of the statements below is true about the values of magnetic flux through the loops due to the magnetic field?