## Degree (angle) |

Degree | |
---|---|

Unit of | |

Symbol | °^{[1]}^{[2]} or deg^{[3]} |

Unit conversions | |

1 °^{[1]}^{[2]} in ... | ... is equal to ... |

| 1/360 turn |

| π/180 rad |

| 10/9^{g} |

A **degree** (in full, a **degree of arc**, **arc degree**, or **arcdegree**), usually denoted by **°** (the

It is not an ^{[4]} Because a full rotation equals 2π radians, one degree is equivalent to π/180 radians.

The original motivation for choosing the degree as a unit of rotations and angles is unknown. One theory states that it is related to the fact that 360 is approximately the number of days in a year.^{[5]} Ancient

Another theory is that the Babylonians subdivided the circle using the angle of an ^{[6]}^{[7]} The

^{[8]}^{[9]} ^{[10]}

The division of the circle into 360 parts also occurred in ancient ^{[11]}

Twelve spokes, one wheel, navels three.

Who can comprehend this?

On it are placed together

three hundred and sixty like pegs.

They shake not in the least.—Dirghatamas , Rigveda 1.164.48

Another motivation for choosing the number 360 may have been that it is ^{[note 1]} making it one of only 7 numbers such that no number less than twice as much has more divisors (sequence A072938 in the ^{[12]}^{[13]} Furthermore, it is divisible by every number from 1 to 10 except 7.^{[note 2]} This property has many useful applications, such as dividing the world into 24

Finally, it may be the case that more than one of these factors has come into play. According to that theory, the number is approximately 365 because of the apparent movement of the sun against the celestial sphere and that it was rounded to 360 for some of the mathematical reasons cited above.

Other Languages

Afrikaans: Graad (meetkunde)

العربية: درجة (زاوية)

asturianu: Grau sexaxesimal

বাংলা: ডিগ্রী (কোণ)

беларуская: Вуглавы градус

भोजपुरी: डिग्री (कोण)

български: Градус (ъгъл)

bosanski: Stepen (ugao)

català: Grau sexagesimal

čeština: Stupeň (úhel)

dansk: Grad (vinkelmål)

Deutsch: Grad (Winkel)

eesti: Kraad (geomeetria)

Ελληνικά: Μοίρα (γεωμετρία)

español: Grado sexagesimal

Esperanto: Grado

euskara: Gradu sexagesimal

فارسی: درجه (زاویه)

français: Degré (angle)

Gaeilge: Céim (matamaitic)

galego: Grao sesaxesimal

贛語: 度 (角度)

한국어: 도 (각도)

հայերեն: Աստիճան (երկրաչափություն)

hrvatski: Stupanj (kut)

Ilokano: Grado (anggulo)

Bahasa Indonesia: Derajat (satuan sudut)

interlingua: Grado (angulo)

íslenska: Gráða (horn)

italiano: Grado d'arco

עברית: מעלה (זווית)

Kiswahili: Nyuzi

Latina: Gradus anguli

latviešu: Grāds (leņķis)

Lëtzebuergesch: Grad (Wénkel)

magyar: Fok (szög)

македонски: Степен (агол)

Bahasa Melayu: Darjah (sudut)

Nederlands: Booggraad

日本語: 度 (角度)

Nordfriisk: Winkelgraad

norsk: Grad (vinkel)

norsk nynorsk: Vinkeleininga grad

ਪੰਜਾਬੀ: ਡਿਗਰੀ (ਕੋਣ)

Patois: Digrii

Plattdüütsch: Grad (Winkel)

polski: Stopień (kąt)

português: Grau (geometria)

română: Grad sexagesimal

русский: Градус (геометрия)

Scots: Degree (angle)

Simple English: Degree (angle)

slovenčina: Stupeň (uhol)

slovenščina: Kotna stopinja

کوردی: پلە (گۆشە)

српски / srpski: Степен (угао)

srpskohrvatski / српскохрватски: Stepen (ugao)

suomi: Aste

svenska: Grad (vinkelenhet)

தமிழ்: பாகை (அலகு)

ไทย: องศา (มุม)

тоҷикӣ: Дараҷа (зовия)

Türkçe: Derece (birim)

українська: Градус (геометрія)

اردو: درجہ (زاویہ)

Tiếng Việt: Độ (góc)

Winaray: Grado sexagesimal

ייִדיש: גראד

粵語: 角度

中文: 度 (角)