Degree (angle)

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]

Degree
General information
Unit systemNon-SI accepted unit
Unit ofAngle
Symbol°[1][2]ordeg[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
One degree (shown in red) and
eighty nine degrees (shown in blue)

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.


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