Degree (angle)

Degree
One degree (shown in red) and eighty nine degrees (shown in blue). The lined area is a right angle.
General information
Unit systemNon-SI accepted unit
Unit ofAngle
Symbol°[1][2], deg[3]
Conversions
[1][2] in ...... is equal to ...
   turns   1/360 turn
   radians   π/180 rad ≈ 0.01745.. rad
   milliradians   50·π/9 mrad ≈ 17.45.. mrad
   gons   10/9g

A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees.[4]

It is not an SI unit—the SI unit of angular measure is the radian—but it is mentioned in the SI brochure as an accepted unit.[5] Because a full rotation equals 2π radians, one degree is equivalent to π/180 radians.

  1. ^ HP 48G Series – User's Guide (UG) (8 ed.). Hewlett-Packard. December 1994 [1993]. HP 00048-90126, (00048-90104). Retrieved 6 September 2015.
  2. ^ HP 50g graphing calculator user's guide (UG) (1 ed.). Hewlett-Packard. 1 April 2006. HP F2229AA-90006. Retrieved 10 October 2015.
  3. ^ HP Prime Graphing Calculator User Guide (UG) (PDF) (1 ed.). Hewlett-Packard Development Company, L.P. October 2014. HP 788996-001. Archived from the original (PDF) on 3 September 2014. Retrieved 13 October 2015.
  4. ^ Weisstein, Eric W. "Degree". mathworld.wolfram.com. Retrieved 31 August 2020.
  5. ^ Bureau international des poids et mesures, Le Système international d'unités (SI) / The International System of Units (SI), 9th ed.[permanent dead link] (Sèvres: 2019), ISBN 978-92-822-2272-0, c. 4, pp. 145–146.