1. The problem asks to name a central angle for circle D. 2. A central angle in a circle is an angle whose vertex is at the center of the circle and whose sides are radii extending to the circumference. 3. Here, point D is the center of the circle, so the central angle must have vertex D. 4. The options are: A. \(\angle FHG\) - vertex at H, not center B. \(\angle FDG\) - vertex at D, center of circle C. \(\angle FGD\) - vertex at G, not center D. \(\angle EFG\) - vertex at F, not center 5. Only option B has vertex D, the center, so \(\angle FDG\) is a central angle. Final answer: \(\boxed{\angle FDG}\)