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The number 3.1416 is an approximation of the mathematical constant pi (π), which represents the ratio of a circle's circumference to its diameter. Pi has been known since ancient times, with its origins traceable to various civilizations, including the Babylonians and Egyptians, who used rough estimates of its value. The symbol π was introduced by the Welsh mathematician William Jones in 1706, and it has since been refined through calculus and computational methods, leading to more precise approximations. The value 3.1416 is commonly used for practical calculations in geometry and engineering.

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