What is Pi | Pi Value | Pi Number | Do you know this ?
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- Опубліковано 19 сер 2024
- #pivalue #circumferenceofcircle #diameter
This video is about the pi value.
For a hexagon (6-sided polygon), the perimeter is approximately 3.00 times the diameter of the circle. For a 12-sided polygon (dodecagon), the perimeter is approximately 3.06 times the diameter. Archimedes continued this process with more sides, getting closer to pi's true value.
Using this method, he estimated pi as:
3 1/7 = 3.142857 (approximation from inscribed hexagon)
3 10/71 = 3.140845 (approximation from circumscribed 96-sided polygon)
The average of these two values is approximately 3.141851, which is incredibly close to the modern calculation of pi = 3.14159265359...
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I got lost at the 96 polygons outside the circle. ???
For a hexagon (6-sided polygon), the perimeter is approximately 3.00 times the diameter of the circle. For a 12-sided polygon (dodecagon), the perimeter is approximately 3.06 times the diameter. Archimedes continued this process with more sides, getting closer to pi's true value.
Using this method, he estimated pi as:
3 1/7 = 3.142857 (approximation from inscribed hexagon)
3 10/71 = 3.140845 (approximation from circumscribed 96-sided polygon)
The average of these two values is approximately 3.141851, which is incredibly close to the modern calculation of pi = 3.14159265359...