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Value of Pi

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A derivation of the value of Pi is shown (you need to know the Law of Cosines from trigonometry).

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Solution Summary

A derivation of the value of Pi is shown (you need to know the Law of Cosines from trigonometry).

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(see attached solution file)

is the number we multiply the diameter of a circle by to find the distance around the circle (the circumference). To get an idea of where this number comes from, try making a circle and putting a square of side length inside of it:

If we draw lines from the center point to the corners of the square, they are all radii:

By the Side-Side-Side postulate of geometry, we know that all 4 of these triangles ...

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