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#The Leibniz formula: 1-(1/3)+(1/5)-(1/7)+(1/9)... def pi(prec) denom = 3.0 mod = -1.0 result = 1.to_f i = 0 while( i < prec) result += mod*((1.0/denom)) denom += 2 mod *= -1 i += 1 end #the formula returns pi/4, so to get the approximation of pi, we multiply by 4 result *= 4.0 return result end #Example: puts pi(3423231) #=>3.14159236146807 #note that there is no significance to "3423231", but was just an arbitrary number I used