Pi has connections to a variety of mathematical concepts and theorems from "summary" of A History of [pi] (pi) by Petr Beckmann
Pi, the ratio of a circle's circumference to its diameter, is a fundamental constant in mathematics that has been studied extensively throughout history. Its value is approximately 3.14159, but it is an irrational number, meaning it cannot be expressed as a simple fraction. This unique property of pi has intrigued mathematicians for centuries and has led to its connections with a variety of mathematical concepts and theorems. One of the most famous connections involving pi is its relationship with the area of a circle. The formula for the area of a circle is pi multiplied by the square of the circle's radius. This simple equation demonstrates the fundamental role that pi plays in geometry and trigonometry, as well as its importance in calculating the properties...
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