Approximating π (Pi) with Polygons | Pi Day Short
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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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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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Follow @physics_unplugged | video description 👇 The value of it (pi) can be approximated using polygons, a technique pioneered by Archimedes. By inscribing and circumscribing regular polygons around a circle, their perimeters provide upper and lower bounds for the circle’s circumference. The inscribed polygon gives a lower estimate, while the circumscribed polygon gives an upper estimate. As the number of sides increases, the perimeters get closer to the actual circumference, improving the appr
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Follow @physics_unplugged | video description 👇 The value of it (pi) can be approximated using polygons, a technique pioneered by Archimedes. By inscribing and circumscribing regular polygons around a circle, their perimeters provide upper and lower bounds for the circle’s circumference. The inscribed polygon gives a lower estimate, while the circumscribed polygon gives an upper estimate. As the number of sides increases, the perimeters get closer to the actual circumference, improving the appr
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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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