Understanding why bigger pizzas are almost always a better deal comes down to one simple formula.
Where r is the radius (half the diameter). The key insight is that the area grows with the square of the radius, not linearly.
Let's compare a 12" pizza to a 16" pizza:
The 16" pizza is only 33% larger in diameter, but it has 78% more pizza!
To find the true value, we calculate the price per square inch:
Even though the larger pizza costs 40% more, you're paying 20% less per square inch of pizza!
| Diameter | Area (sq in) | vs 12" |
|---|---|---|
| 10" | 78.5 | -31% |
| 12" | 113.1 | baseline |
| 14" | 153.9 | +36% |
| 16" | 201.1 | +78% |
| 18" | 254.5 | +125% |
| 20" | 314.2 | +178% |
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