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Historically one of the early methods of estimating the value of π was by taking a circle and inscribing and circumscribing a regular polygon (constructing a regular polygon inside and outside the circle- they knew how to do that mathematically 500 BC in Greece for a great number of polygons) They took the average of the circumferences of the polygons and divided that by the average of the diameters of the polygons to approximate a value for π.

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Q: How was the value of pi derived?
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