The Math Behind Pizza

Understanding why bigger pizzas are almost always a better deal comes down to one simple formula.

Area = π × r²

Where r is the radius (half the diameter). The key insight is that the area grows with the square of the radius, not linearly.

A Practical Example

Let's compare a 12" pizza to a 16" pizza:

12" Pizza:
Radius = 6 inches
Area = π × 6² = π × 36 = 113.1 sq inches
16" Pizza:
Radius = 8 inches
Area = π × 8² = π × 64 = 201.1 sq inches

The 16" pizza is only 33% larger in diameter, but it has 78% more pizza!

The Value Calculation

To find the true value, we calculate the price per square inch:

Value = Price ÷ Area
If the 12" costs $10:
$10 ÷ 113.1 = $0.088 per sq inch
If the 16" costs $14:
$14 ÷ 201.1 = $0.070 per sq inch

Even though the larger pizza costs 40% more, you're paying 20% less per square inch of pizza!

Common Pizza Misconceptions

Quick Reference

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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