tau

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See also:
pi

Tau: the circle constant 2π

tau equals 2π, the angle of one complete turn in radians. It can make full-turn and angular-frequency formulas more direct.

Use

Use τ for a complete cycle, while pi represents a half turn. It also relates ordinary frequency to angular frequency alongside reducedPlanckConstant.

Caveats

Radians are dimensionless in calculation but must be conceptually distinct from degrees. Convert degree input deliberately and use sin or cos with radians.

All constants