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.

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°,deg
Conversions
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

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. Because a full rotation equals 2π radians, one degree is equivalent to π/180 radians.

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