I feel like pizza places made a mistake when they first decided that diameter was the way to go with advertising pizza sizes. Human brains like to think in line

I feel like pizza places made a mistake when they first decided that diameter was the way to go with advertising pizza sizes. Human brains like to think in linear terms (unless the numbers get really big, in which case we seem to switch to logarithmic thinking because we just look at how long the number is), so at worst, you want the relationship between cost of production and the number you advertise to be linear. Even an educated person is going to intuitively feel like a 16 inch pizza is twice as big as an 8 inch, and a less educated person will actually think as much.