# Love Pie? That’s Not Irrational! Happy Pi Day!

𝜫 is the ratio between the diameter and the circumference of a circle. Any circle. It doesn’t matter how big or small a circle is, this ratio is always the same. This may not seem incredibly important, but many things are circular or spherical. This results in 𝝅 showing up in all kinds of equations in science and math.

One especially weird thing about this number is that it is irrational. Most numbers can be written as a fraction, like ⅗ or ⅔, but irrational numbers just don’t fit not matter how big the top and bottom numbers become. Computers have calculated 𝝅 to billions of digits, and even in that expanse of numbers, no pattern seems to emerge.

𝜫 isn’t the only irrational number. Another famous one is e which is approximately 2.71828 but similarly continues on forever with no pattern in its decimal places.  Unfortunately, “e day” is a much less celebrated hlid, probably because it doesn’t share its phonetic name with a delicious dessert. It also doesn’t have such a nice definition as 𝝅’s simple ratio. Instead, e is the result of the the following series:

Where things get especially weird is when this numbers are put together with another famous number, i. As you may recall, i is an imaginary number, which has a value of sqrt(-1). In school, many students ask how this number can possibly be important if it is imaginary. Well, look at this:

Woah! This happens because both e and 𝝅 are important for the mathematics of waves. To learn more, check out Euler’s formula, preferably over some pie!

As noted previously, 𝜫 is important because of its relationship with circles. It seems appropriate that we consume some pleasantly round delicious phonetic namesake to celebrate!

Written by Scott Alton

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