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How to obtain the 3 modern Pi values.

There are 3 values for Pi. The first value for Pi is 3.141592653589793. The first version of Pi can be obtained if 1759.2918860102842 is divided by 560. The second version of Pi is 3.146446609406726 and can be obtained if 14 is subtracted from the Square root of 2 = 1.414213562373095 resulting in 12.585786437626905 and if 12.585786437626905 is divided by 4 then the second value of Pi 3.146446609406726 can be obtained. The third value for Pi is 3.144605511029693 and can be obtained if the Golden ratio of 1.618033988749895 that is obtained from Cosine (36) x 2 is then applied to Square root and the result = 1.272019649514069 is then 4 is divided by 1.272019649514069 resulting in the third modern value for Pi = 3.144605511029693. There is a debate among scholars regarding which version of the 3 values of Pi are better to use when dealing with circles and geometrical figures. The view of this author is that all 3 of the values of Pi are important and all the 3 values of Pi must be studied as much as possible to achieve accuracy. The 3 values of Pi 3.141592653589793 and 3.146446609406726 and 3.144605511029693 must be compared to each other so the geometrician can determine which value is best suited for the desired task.

[rsjreddy.webnode.com]

[www.jainmathemagics.com]

[www.iosrjournals.org]

Squaring the circle cannot be achieved exactly with numerical digits of the 3 traditional modern values of Pi 1 - 3.141592653589793. 2 - 3.146446609406726. 3 - 3.144605511029693. The 3 modern values of Pi do not allow us to read the measure of the circumference of a circle with out an infinite amount of decimal points but the 13 known ancient approximation versions of the 3 modern values of Pi allow us to read the measure for the circumference of a circle with no decimal points as long as the measure of the circle’s diameter is divisible by 11.46 or 11.3 or 13.75 or 14 equal units or 8.9 or 39.78 or 40.74 or 12.732 or 15.91 or 21.2 or 864000 or 7920 or 12756.319. Pi is defined as the measure of a circle’s circumference divided by the diameter of the circle. The circumference of a circle can be known when Pi is multiplied by the measure for the diameter of the circle. If we want to square the circle with 100% accuracy we must use the 13 versions of Pi instead of the modern version of Pi. All the 13 ancient versions of Pi are approximations of the 3 modern values of Pi 1 - 3.141592653589793. 2 - 3.146446609406726. 3 - 3.144605511029693. The 3 Modern Pi values cannot be expressed without the result having an infinite amount of decimal places so the modern Pi values must be approximated and this is done by reducing the results that are given to us by modern Pi down to 4 or 5 decimal places and the result will be another version of the 3 modern Pi values. The circumference of a circle divided by the radius of the circle is the result of Pi being multiplied twice and this ratio is known as Tau. If Tau is multiplied by the radius of the circle then the result is the measure for the circle’s circumference. One quarter of a circle’s circumference divided by the radius of the circle is half of Pi and if half of Pi multiplied by the radius of the circle the result is 1 quarter of the circle’s circumference. The ratio Pi can also be obtained when half of a circle’s circumference is divided by the radius of the circle. The 13 ancient approximation versions of Pi are:

• 1.22 divided by 7 = 3.142857142857143.

• 2. 43.2 divided by 13.75 = 3.141818181818182.

• 3. 35.5 divided by 11.3 = 3.141592920353982.

• 4. 36 divided by 11.46 = 3.141361256544503.

• 5. 28 divided by 8.9 = 3.146067415730337.

• 6. 16 divided by 5.09295 = 3.141597698779686.

• 7. 125 divided by 39.78 = 3.14228255404726.

• 8. 50 divided by 15.91 = 3.142677561282212.

• 9. 40 divided by 12.7325 = 3.141566856469664.

• 10. 666 divided by 212 = 3.141509433962264.

• 11. 2714336 divided by 864000 = 3.141592592592593.

• 12. 24881.41 divided by 7920 = 3.141592171717172.

• 13. 40075.16 divided by 12756.319 = 3.141592805887027.

The 13 ancient approximations of Pi with whole values as much as possible:

• 1.22 divided by 7 = 3.142857142857143.

• 2. 432 divided by 137.5 = 3.141818181818182.

• 3. 355 divided by 113 = 3.141592920353982.

• 4. 3600 divided by 1146 = 3.141361256544503.

• 5. 28 divided by 8.9 = 3.146067415730337.

• 6. 16 divided by 5.09295 = 3.141597698779686.

• 7. 125 divided by 39.78 = 3.14228255404726.

• 8. 50 divided by 15.91 = 3.142677561282212.

• 9. 40 divided by 12.7325 = 3.141566856469664.

• 10. 666 divided by 212 = 3.141509433962264.

• 11. 2714336 divided by 864000 = 3.141592592592593.

• 12. 24881.41 divided by 7920 = 3.141592171717172.

• 13. 40075.16 divided by 12756.319 = 3.141592805887027

There are 3 values for Pi. The first value for Pi is 3.141592653589793. The first version of Pi can be obtained if 1759.2918860102842 is divided by 560. The second version of Pi is 3.146446609406726 and can be obtained if 14 is subtracted from the Square root of 2 = 1.414213562373095 resulting in 12.585786437626905 and if 12.585786437626905 is divided by 4 then the second value of Pi 3.146446609406726 can be obtained. The third value for Pi is 3.144605511029693 and can be obtained if the Golden ratio of 1.618033988749895 that is obtained from Cosine (36) x 2 is then applied to Square root and the result = 1.272019649514069 is then 4 is divided by 1.272019649514069 resulting in the third modern value for Pi = 3.144605511029693. There is a debate among scholars regarding which version of the 3 values of Pi are better to use when dealing with circles and geometrical figures. The view of this author is that all 3 of the values of Pi are important and all the 3 values of Pi must be studied as much as possible to achieve accuracy. The 3 values of Pi 3.141592653589793 and 3.146446609406726 and 3.144605511029693 must be compared to each other so the geometrician can determine which value is best suited for the desired task.

[rsjreddy.webnode.com]

[www.jainmathemagics.com]

[www.iosrjournals.org]

Squaring the circle cannot be achieved exactly with numerical digits of the 3 traditional modern values of Pi 1 - 3.141592653589793. 2 - 3.146446609406726. 3 - 3.144605511029693. The 3 modern values of Pi do not allow us to read the measure of the circumference of a circle with out an infinite amount of decimal points but the 13 known ancient approximation versions of the 3 modern values of Pi allow us to read the measure for the circumference of a circle with no decimal points as long as the measure of the circle’s diameter is divisible by 11.46 or 11.3 or 13.75 or 14 equal units or 8.9 or 39.78 or 40.74 or 12.732 or 15.91 or 21.2 or 864000 or 7920 or 12756.319. Pi is defined as the measure of a circle’s circumference divided by the diameter of the circle. The circumference of a circle can be known when Pi is multiplied by the measure for the diameter of the circle. If we want to square the circle with 100% accuracy we must use the 13 versions of Pi instead of the modern version of Pi. All the 13 ancient versions of Pi are approximations of the 3 modern values of Pi 1 - 3.141592653589793. 2 - 3.146446609406726. 3 - 3.144605511029693. The 3 Modern Pi values cannot be expressed without the result having an infinite amount of decimal places so the modern Pi values must be approximated and this is done by reducing the results that are given to us by modern Pi down to 4 or 5 decimal places and the result will be another version of the 3 modern Pi values. The circumference of a circle divided by the radius of the circle is the result of Pi being multiplied twice and this ratio is known as Tau. If Tau is multiplied by the radius of the circle then the result is the measure for the circle’s circumference. One quarter of a circle’s circumference divided by the radius of the circle is half of Pi and if half of Pi multiplied by the radius of the circle the result is 1 quarter of the circle’s circumference. The ratio Pi can also be obtained when half of a circle’s circumference is divided by the radius of the circle. The 13 ancient approximation versions of Pi are:

• 1.22 divided by 7 = 3.142857142857143.

• 2. 43.2 divided by 13.75 = 3.141818181818182.

• 3. 35.5 divided by 11.3 = 3.141592920353982.

• 4. 36 divided by 11.46 = 3.141361256544503.

• 5. 28 divided by 8.9 = 3.146067415730337.

• 6. 16 divided by 5.09295 = 3.141597698779686.

• 7. 125 divided by 39.78 = 3.14228255404726.

• 8. 50 divided by 15.91 = 3.142677561282212.

• 9. 40 divided by 12.7325 = 3.141566856469664.

• 10. 666 divided by 212 = 3.141509433962264.

• 11. 2714336 divided by 864000 = 3.141592592592593.

• 12. 24881.41 divided by 7920 = 3.141592171717172.

• 13. 40075.16 divided by 12756.319 = 3.141592805887027.

The 13 ancient approximations of Pi with whole values as much as possible:

• 1.22 divided by 7 = 3.142857142857143.

• 2. 432 divided by 137.5 = 3.141818181818182.

• 3. 355 divided by 113 = 3.141592920353982.

• 4. 3600 divided by 1146 = 3.141361256544503.

• 5. 28 divided by 8.9 = 3.146067415730337.

• 6. 16 divided by 5.09295 = 3.141597698779686.

• 7. 125 divided by 39.78 = 3.14228255404726.

• 8. 50 divided by 15.91 = 3.142677561282212.

• 9. 40 divided by 12.7325 = 3.141566856469664.

• 10. 666 divided by 212 = 3.141509433962264.

• 11. 2714336 divided by 864000 = 3.141592592592593.

• 12. 24881.41 divided by 7920 = 3.141592171717172.

• 13. 40075.16 divided by 12756.319 = 3.141592805887027

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