Ever been faced with the quandry of determining how much pizza to order? I do all the time. When you ask the pizza place, "how much pizza should I order for 12 people?" they invariably respond with, "how hungry are you guys?"
That is not helpful response as it does not take into consideration other important variables: namely the fact that most people given the same amount of hunger will eat different amounts of food.
Another approach that I see people use is asking each person "how many slices will you eat?" This never felt like a reliable method to me, because slices of a medium pizza always seemed bigger to me than a slice of an extra large (keeping in mind that the larger the pizza gets, the more slices it typically contains).
But let's do the math, because the world should know the best and simplest formula for figuring out how much pizza to order.
|Pizza Size||Diameter||# Slices||Surface Area Per Slice|
|Medium||12"||8||14 sq. in.|
|Large||14"||10||15 sq. in.|
|Extra Large||16"||12||16 sq. in.|
I think the most important thing to take away from this is that slices do not vary wildly in size - maybe by a bite or two, but that a slice of a medium pie will probably be equally filling to a slice of an extra large. Therefore, the simplest and easiest way to order pizza is simply to ask each person how many slices they will eat and then ordering the requisite number/sizes of pizza optimizing for variety of choice and economy of scale.