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Pizza math Thu, Feb 27, 2014
Planet Money wrote about the economics of pizza size, but I feel like they left out the actual math.  It's not complicated, but basically since area = π*radius2 = (π/4)*diameter2, the area changes with the square of the diameter.  So for an 8-inch pizza, the area is 50 square inches, while the area of a 12-inch pizza is 113 square inches.  A 50% increase in diameter equates to a 125% increase in area.  That's the power of exponents. 

Simplifying the formula, you can write that the change in area is related to the change in diameter as follows: 
Δa = ((π/4)*d22 - (π/4)*d12)/((π/4)*d12) = (d22/d12) - 1
Helpful for the next time you want to get a wedgie in a pizza place. #math


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