Pi (Polygons based) Calculator

Calculates circular constant Pi using the perimeters of regular polygons inscribed in and circumscribed about a circle of diameter 1.

Pi (Polygons based)
    1. initial regular polygon
    2. tetragon (4) hexagon (6)
loop frequency n
    1. calculated up to  2 or 3 x 2n -sided polygon

The calculation stops when the perimeters of both circumscribed and inscribed regular polygons become equal. The accuracy of π improves by increasing the number of digits for calculation.

From ancient times until the 17th century, the approximation of Pi was calculated from the perimeters of the circumscribed and inscribed regular polygons.
Pi is calculated from the perimeters of from the initial tetragon or hexagon to the 2 or 3 x 2n-sided circumscribed and inscribed regular polygons.

Iterative algorithms
 a:perimeter of circumscribed polygon, b:perimeter of inscribed polygon

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