Circle O is shown. Line segments B D and A C intersect at point O. The length of B O is 5. Angle C O D is StartFraction 4 pi Over 9 EndFraction. Sectors A O B and D O C are shaded.
Which statement is true regarding the two shaded sectors of circle O? Explain.

The area of sector AOB is greater than the area of sector DOC because the central angle measures are equal.
The area of sector DOC is greater than the area of sector AOB because the radii are equal.
The area of sector AOB is equal to the area of sector DOC because the central angle measures are equal.
The area of sector AOB is equal to the area of sector DOC because the radii are equal.