Update README.md

README.md

@@ -106,26 +106,26 @@ print(output)
 
 
 ```
-Pi (π) is a mathematical constant representing the ratio of a circle's circumference to its diameter. It cannot be precisely calculated to an infinite number of decimal places due to its transcendental nature. However, we can use mathematical formulas and infinite series to approximate its value.
-
-One popular method is the Gregory-Leibniz series:
+<reasoning>
+Pi is an irrational number, which means it cannot be precisely calculated using finite decimal or fractional notation. It is typically represented by the Greek letter π and its approximate value is 3.14159. However, for a more precise calculation, we can use mathematical algorithms like the Leibniz formula for π or the Gregory-Leibniz series.
 
-π/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ...
+The Leibniz formula for π is:
 
-By summing up an extremely large number of terms, we can get increasingly accurate approximations of π.
+π = 4 * (1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + 1/13 - 1/15 +...)
 
-Another method is the Chudnovsky algorithm:
+This series converges slowly, so many terms are needed for a good approximation. For instance, using 10 terms, the approximation would be:
 
-π = 12 * sum from n=0 to ∞ of ((-1)^n * (6n)! * (545140134n + 13591409)) / ((n!^3 * 3^12 * 640320^3))
+π ≈ 4 * (1 - 0.3333333333333333 + 0.1111111111111111 - 0.0344827586206897 + 0.0090040875518672 - 0.0025958422650073 + 0.0006929403729561 - 0.0001866279043531 + 0.0000499753694946 - 0.0000133386323746 + 0.0000035303398593 - 0.0000009009433996)
 
-Using computational tools, the most accurate approximation of π (up to 100 trillion decimal places) is:
+π ≈ 3.141592653589793
 
-π ≈ 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
+This is a rough approximation of π using 10 terms. For a more precise value, you can use more terms or employ other algorithms.
 
 </reasoning>
 
 <answer>
-3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253
+π ≈ 3.141592653589793
+</answer>
 ```
 
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