There is an age old question about which is better economically; is it better to buy a large size product that may be cheaper by unit amount than a smaller size, or buy the smaller size so that there is less of a storage problem, waste, and transportation issue? Well, of course it depends on personal choice and preferences, and each product will be different. But here is one food item that will always be a better buy when it is larger. Pizza is almost always a better buy when large than when small! Why? It really is simple math.
If you are at a local pizza place and dining for one you have the choice of an 8 inch personal pizza or a family size 16 inch pie. Based on price, the smaller pizza is cheaper, and the large one is perhaps 50 % more expensive but only twice the size so you decide on the small one. But when the math of a circle is considered, the larger is twice as large in diameter, but it is four times larger in area! That is because the area of a circle increases with the square of the radius. Recall that the diameter of a circle is the distance across, and the radius connects the center of the circle with any point on the circumference, which is half of the diameter. When you check the second image above, you might expect the area to be twice as large, but it is actually four times greater!
When you consider the fact that pizza can be reheated, frozen, and is the breakfast of champions, larger is better. But what if the pizza is a square or a rectangle? This does not count as it is no longer a Pi...
If you are at a local pizza place and dining for one you have the choice of an 8 inch personal pizza or a family size 16 inch pie. Based on price, the smaller pizza is cheaper, and the large one is perhaps 50 % more expensive but only twice the size so you decide on the small one. But when the math of a circle is considered, the larger is twice as large in diameter, but it is four times larger in area! That is because the area of a circle increases with the square of the radius. Recall that the diameter of a circle is the distance across, and the radius connects the center of the circle with any point on the circumference, which is half of the diameter. When you check the second image above, you might expect the area to be twice as large, but it is actually four times greater!
When you consider the fact that pizza can be reheated, frozen, and is the breakfast of champions, larger is better. But what if the pizza is a square or a rectangle? This does not count as it is no longer a Pi...
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