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Degrees and radians

Two ways to measure an angle, and converting between them.

A full turn is 360° or 2π radians, so 180° = π. Radians measure an angle by the arc it cuts on a unit circle, which is why calculus prefers them: with radians, the derivative of sin is exactly cos.

Жұмыстағы мысал: 30 degrees to radians

Trigonometry · Angles

30 degrees to radians

30

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  1. 30^\circ \times \frac{\pi}{180^\circ} = \frac{\pi}{6} \approx 0.52360

    Multiply by π/180 (a full turn is 360° = 2π).

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\frac{\pi}{6} \approx 0.52360

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