Full angle

Physical unit
Unit name	Full angle
Physical quantity (s)	Flat angle
Formula symbol	${\displaystyle \alpha ,\,\beta ,\,\gamma ,\,\dots }$
dimension	${\displaystyle {\mathsf {{\frac {L}{L}}=1}}}$
In SI units	${\displaystyle \mathrm {1\,Vollwinkel=2\,\pi \;rad} }$
See also: angular dimensions

Full angle is a designation for the 360 ​​° angle and a unit of measurement for the physical size of plane angles . When a radial ray is rotated 360 ° around its center, its tip makes a full - or full - circular motion.

The full angle is not an SI unit , but is a legal unit in the EU and Switzerland . It is dealt with in DIN 1301-1 , edition 2010-10 in a table "Generally applicable units outside the SI". The unit full angle has no unit symbol . Decimal multiples or parts may not be formed with SI prefixes .

The German standard DIN 1315 (1974-03) recommended the unit symbol “pla” (from Latin plenus angulus ) for the full angle. Since 2011 the pocket calculators HP 39gII and HP Prime have supported the unit symbol “tr” (from English turn ) for full angle.

units

A full angle corresponds in the various angular dimensions :

• 1 full angle = 360 ° = 360 degrees
• 1 full angle = 2 rad in radians ${\displaystyle \pi }$
• 1 full angle = 400 ^g = 400 gon = 400 grads (only still used in surveying )
• 1 full angle = 4 ^∟ = 4 right angles (former legal entity in Germany and Switzerland)
• 1 full angle = 32 "= 32 nautical lines
• 1 full angle = 6400¯ = 6400 mil = 6400 artillery line
• 1 full angle = 24 ^h = 1440 ^m = 86400 ^s per hour

Individual evidence

1. ↑ Directive 80/181 / EEC (PDF)
2. ↑ Unit Ordinance . November 23, 1994 (as of January 1, 2013), Swiss Federal Council.
3. ↑ Sigmar German, Peter Drath: Manual SI units: definition, implementation, preservation and dissemination of SI units, basics of precision measurement technology . 1st edition. Friedrich Vieweg & Sohn Verlagsgesellschaft, 1979, ISBN 3-322-83606-1 .
4. ↑ Peter Kurzweil: The Vieweg unit lexicon: formulas and terms from physics, chemistry and technology . 1st edition. Vieweg, 1999, ISBN 3-322-92920-5 .