Degree (angle)

Degree
Degree
	One degree (shown in red) and eighty nine degrees (shown in blue). The lined area is a right angle.
General information
Unit system	Non-SI accepted unit
Unit of	Angle
Symbol	°, deg
Conversions
1° 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 2 $π$ radians, one degree is equivalent to $π$ /180 radians.

^ HP 48G Series – User's Guide (UG) (8 ed.). Hewlett-Packard. December 1994 [1993]. HP 00048-90126, (00048-90104). Retrieved 6 September 2015.
^ HP 50g graphing calculator user's guide (UG) (1 ed.). Hewlett-Packard. 1 April 2006. HP F2229AA-90006. Retrieved 10 October 2015.
^ 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.
^ Weisstein, Eric W. "Degree". mathworld.wolfram.com. Retrieved 31 August 2020.
^ 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.

[HP48_UG-1] HP 48G Series – User's Guide (UG) (8 ed.). Hewlett-Packard. December 1994 [1993]. HP 00048-90126, (00048-90104). Retrieved 6 September 2015.

[HP50g_UG-2] HP 50g graphing calculator user's guide (UG) (1 ed.). Hewlett-Packard. 1 April 2006. HP F2229AA-90006. Retrieved 10 October 2015.

[HP-Prime_UG-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.

[:1-4] 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.

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