How Can You Calculate Pi for a Physics Assignment?

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SUMMARY

The discussion focuses on various methods to calculate the mathematical constant pi for a physics assignment. Key formulas mentioned include the Gregory-Leibniz series: π = 4(1 - 1/3 + 1/5 - 1/7 + ...), and Machin's formula: 1/4π = 4 arctan(1/5) - arctan(1/239). The user initially proposed using the formula pi = 4 * arcsin(sqrt(2)/2), which is less common. Participants emphasized the importance of verifying calculations and suggested consulting with teachers for clarification.

PREREQUISITES
  • Understanding of infinite series and convergence
  • Familiarity with trigonometric functions, specifically arcsine
  • Basic knowledge of the mathematical constant pi
  • Ability to perform calculations involving series and trigonometric identities
NEXT STEPS
  • Research the Gregory-Leibniz series for calculating pi
  • Explore Machin's formula and its derivation
  • Learn about the convergence of infinite series
  • Investigate other methods for calculating pi, such as the Gauss-Legendre algorithm
USEFUL FOR

Students in physics and mathematics, educators teaching numerical methods, and anyone interested in computational techniques for approximating pi.

Henrych
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Hello,

my assinment is to calulate number pi
i do this pi=4*acrsin(sr(2)/2)

u no other way to find number pi

this asigmnent must be hand in tomorrow, i need urgent

thanks
 
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Among the most famous is the formula from Gregory and Leibniz:

[tex]\pi = 4 - \frac{4}{3} + \frac{4}{5} - \frac{4}{7} + ...[/tex]

A finite one is Machin's formula:

[tex]\frac{1}{4}\pi = 4 arctan (\frac{1}{5}) - arctan(\frac{1}{239})[/tex]
 
Last edited:


Hello, thank you for reaching out for help with your physics problem. Calculating the number pi is a common assignment in physics and mathematics. The most common way to find the value of pi is by using the formula pi = circumference/diameter or by using the infinite series formula pi = 4(1 - 1/3 + 1/5 - 1/7 + 1/9...). However, it seems like you are using a different formula that involves the inverse sine function and square root. I am not familiar with this specific formula, but it may be a valid method for finding the value of pi. I recommend double-checking your calculations and making sure you have the correct formula before submitting your assignment. If you are still unsure, I suggest asking your teacher or a classmate for clarification. Good luck with your assignment.
 

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