(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Using the Arctangent formula

pi = 16 * arctan (1 / 5) - 4*arctan(1 / 239) to calculate the value of pi to 53 significant digits.

2. Relevant equations

The power series of arctangent(x) is = x − x^3/3 + x^5/5 − x^7/7 + x^9/9......

3. The attempt at a solution

http://tinypic.com/r/fy1tax/5

I attempted this question on MAPLE 13(shown above), but I get an obvious incorrect answer 3.17.... instead of 3.14.........

Am i using the formula correctly? I've double checked the values and don't think I missed an exponent or inserted the wrong sign.

-Thanks in advance.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Help Calculating Pi using Arctangent formula

**Physics Forums | Science Articles, Homework Help, Discussion**