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The History of Calculating Pi

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From Archimedes's polygon divisons to Newton's calculus,one constant has interested mathematicians for about 2000 years!  And it's non other than Pi       So what's all the fuss about it? Well, mathematicians  have been trying to calculate as many digits of it as accurately possible. Starting with Archimedes, he claculated that Pi would be between 3.1408 and 3.1429. Now that is all the accuracy you would need for Pi.However, mathematicians didn't stop there. For the next 2000 years, each contributed to higher and higher precisions. One astronomer, Christoph Grienberger, manually calculated 39 digits of Pi. How did they do this? Well, it started with Archimedes division of polygons. 1.First you have to prove that Pi is between 3 and 4. To do this draw a hexagon inside of a circle with radius 1. Circle with radius 1 Then, divide the hexagon into 6 equilateral triangles.This way, you can prove that each side of the hexagon is(1) and that the perimeter of the h...