Pi(e) is a Relationship

 
As noted the other day, there has been no blog proof of pumpkin pie. The mathematical proof of π is simple. In fact, it doesn't need any proof. It just is. It's the relationship of a circle's circumference to the diameter. It doesn't matter if the circle is large or small, if you divide the circumference by the diameter you get π. Exactly. Although there is no exactly, because it's an irrational number, a number that goes on infinitely with the division never coming out even. And it can't be represented exactly by a fraction. When we used 3.14 or 22/7 in high school, those are only approximations that are close enough for most problems.

If you want the area of a circle there's another relationship with π in it, πr².

Interestingly enough, we've just wandered into calculus. Since d=2r (diameter equals twice the radius), then the circumference = 2πr

If you integrate that "line" you get πr², and the integral of any line gives you the area under the line.

OK, I almost kept going, but I expect most readers have already had enough math fun for the day.

Pie is a relationship too. It's the relationship of fat, flour and liquid worked into a crust, and some filling, sweetener and thickening, baked to a state of perfection.



I'm not about to start complaining about sunshine, so you'll just have to deal with the dappled light in that picture. If you look to the far right, you'll see the filling in the blender. I guess that's the only not-quite-conclusive proof I can offer that it was made from scratch. The crust speaks for itself.



I've learned that a 10" pie holds twice as much filling as a 9" pie. How's that for an interesting relationship?



The relationship of the size of the pie to the number of servings is also an irrational number. No matter how big the pie is there is never enough and it doesn't come out even.

	See Rhubarb Pie See Crabapple Pie See Cherry Pie See Apple Cranberry Pie
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