Turn (geometry)

From Wikipedia, the free encyclopedia

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.

[edit] Examples of use

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

[edit] Conversion of some common angles

Units	Values
Revolutions	0	1/12	1/8	1/6	1/4	1/2	3/4	1
Degrees	0°	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	0^g	33⅓^g	50^g	66⅔^g	100^g	200^g	300^g	400^g