Visualize how a pancake is completely flat to understand this expression's meaning. Her new haircut made her head look as flat as a pancake.
Pro Tip 2/3
Exaggeration
The phrase is often used to exaggerate flatness, even when something isn't literally that flat. He ironed the shirt until it was as flat as a pancake.
Pro Tip 3/3
Common Misuse
Avoid using this expression to describe things that are usually flat; it's meant to emphasize an unusual degree of flatness. The deflated soccer ball was as flat as a pancake.