Turn (geometry)

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A turn is a unit of plane angle, equal to 360° or 2π radians. As an angular unit it is mainly useful for large angles, such as in connection with coils and rotating objects. See also winding number.

A turn is also named as revolution or complete rotation or cycle.

The British astronomer and science writer Sir Fred Hoyle (1915 - 2001) in Astronomy (London 1962), proposed dividing the circle, or turn into 1000 milliturns, with each milliturn corresponding to an angle of 21' 36", or 0.36 degrees.

Examples of use

Turn is used in complex dynamics for measure of external and internal angles

Conversion of some common angles

Units Values
Revolutions   0 1/12 1/8 1/6 1/4 1/2 3/4 1
Degrees   30° 45° 60° 90° 180° 270° 360°
Radians 0 \frac{\pi}{6} \frac{\pi}{4} \frac{\pi}{3} \frac{\pi}{2} \pi\, \frac{3\pi}{2} 2\pi\,
Grads 0g 33⅓g 50g 66⅔g 100g 200g 300g 400g