Pizza Size Calculator

Pizzas are marketed by their diameter, but we eat their area. Because area scales quadratically with diameter using the formula Area = π × (diameter / 2)², a larger pizza provides exponentially more food than a smaller one. Our calculator also accounts for the non-edible or crust ring by subtracting the edge boundary width from the total radius to find the effective toppings area. True cost is then computed by dividing the total price by the usable topping area, allowing for a precise economic comparison between two different sizes.

Imagine you are deciding between a 12-inch pizza priced at $12.00 and a 16-inch pizza priced at $18.00, assuming a standard crust edge of 1 inch. First, we calculate the radius and subtract the crust width to find the usable topping radius for each. For the 12-inch pizza, the radius is 6 inches, giving a total area of approximately 113.10 square inches and a true cost of $0.11 per square inch. For the 16-inch pizza, the radius is 8 inches, yielding a massive area of approximately 201.06 square inches and a true cost of roughly $0.09 per square inch. Even though the 16-inch pizza costs more upfront, it delivers a significantly lower cost per square inch and a higher ratio of toppings to crust.

Always compare the square inch price rather than the nominal diameter when ordering for a group, as linear jumps in diameter result in massive surface area gains. Pay attention to crust width settings if you dislike thick borders, since a standard 1-inch crust eats into a smaller pie's edible surface much faster than a large pie's surface.