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Proof of Archimedes
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Proof of Archimedes
Approximating Pi
Archimedes Value
of Pi
Estimation of Pi
by Archimedes
Problems On Estimation
of Pi
The Best History
of Pi Middle School
Pi
in Math
Pi
Equations
Approximating Pi
with Polygons
Archimedes
Method Pi
Biography Archimedes Pi
Kids
Archimedes Pi
Who Discovered
Pi
Theory of
Π
How Was
Pi Found
Calculating
Pi
Pi
Calculation
Pi
Math Formula
Pi
Polygon Method
How to Find the Numbers
of Pi
Pi
Finding
Pi
How to Geometrically Calculate
Pi
Pi
Value
What Is Pi
in Math
How to Calculate
Pi
How to Find
Pi
16:56
YouTube
MathWithoutBorders
Finding Pi by Archimedes' Method
Archimedes approximated the value of Pi by starting with the fact that a regular hexagon inscribed in a unit circle has a perimeter of 6. He then found a method for finding the perimeter of a polygon with twice as many sides. Applying his method repeatedly, he found the perimeter of a 12, 24, 48, and 96 sided polygon. Using the perimeter as an ...
491.9K views
Apr 9, 2012
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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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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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