Generate π to 10 decimal places
Use Gauss Legendre Algorithm
Iteration Formula is below:y = a
a=½(a+b)
b=√by
c = c - x(a-y)2
x = 2x
π = (a+b)2 4c
Start with these initial values:a = 1
x = 1
b = 1 √2c = ¼
π to 10 digits using Gauss-Legendreabcxπ = (a + b)^2/4c10.70710678118654750.2512.91421356230.85355339059327370.84089641525371450.22855339059327380.85355339059327373.14057925050.84722490292349410.84720126674689130.22847329108090080.84722490292349413.14159264620.84721308483519270.84721308475276520.22847329052223200.84721308483519273.1415926535π to 10 digits = 3.1415926535
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