How to Find Pi Using Regular Polygons
How to Find Pi Using Regular Polygons
May 3, 2019
hubpages.com
In search of Pi Yes, it’s possible to approximate the value of π (pi) through the method of drawing polygons, a technique that dates back to ancient Greek mathematics, particularly Archimedes. By inscribing and circumscribing regular polygons around a circle, one can calculate their perimeters to establish upper and lower bounds for the circle’s circumference. The perimeter of the inscribed polygon offers a lower estimate, while the perimeter of the circumscribed polygon gives an upper estimate.
1:04
In search of Pi Yes, it’s possible to approximate the value of π (pi) through the method of drawing polygons, a technique that dates back to ancient Greek mathematics, particularly Archimedes. By inscribing and circumscribing regular polygons around a circle, one can calculate their perimeters to establish upper and lower bounds for the circle’s circumference. The perimeter of the inscribed polygon offers a lower estimate, while the perimeter of the circumscribed polygon gives an upper estimate.
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Happy Pi Day! 🥧 Today we’re looking away at arcs and focusing on approximating pi using lines… or more specifically, polygons! Archimedes approximated pi by comparing a circle to regular polygons drawn inside it and around it. The polygon inside the circle had a perimeter smaller than the circle’s circumference, while the polygon outside had a perimeter larger than the circumference. By calculating both perimeters and then increasing the number of sides, he was able to squeeze the true value of
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Happy Pi Day! 🥧 Today we’re looking away at arcs and focusing on approximating pi using lines… or more specifically, polygons! Archimedes approximated pi by comparing a circle to regular polygons drawn inside it and around it. The polygon inside the circle had a perimeter smaller than the circle’s circumference, while the polygon outside had a perimeter larger than the circumference. By calculating both perimeters and then increasing the number of sides, he was able to squeeze the true value of
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