I have a pet house rabbit, rabbit eyes are pretty much on the side of their head. They also have great big ears.
What can a rabbit really see? How well can they see? Can they see 360 degrees?
Rabbit's can't see a full 360 but they certainly have greater peripheral vision than humans and other animals with eyes that are placed more forward on the face. Their one "blind spot" tends to be right in front of their nose.
As suggested in the comments part of the reason for rabbit's eye placement and vision is so they can better spot predators.
Rabbits also have a third eyelid which helps give the illusion that they are awake because their eyes tend to appear open even when they are resting. Again this is to help ward off predators.