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For a measure of ionizing radiation, see Rad (unit). For other uses, see Radian (disambiguation).
The radian is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57.3 degrees (expansion at OEIS: A072097). The unit was formerly an SI supplementary unit, but this category was abolished in 1995 and the radian is now considered an SI derived unit.[1]
Radian
Unit system
SI derived unit
Unit of
Angle
Symbol
rad or c
In units
Dimensionless with an arc length equal to the radius, i.e. 1
m
/
m
Conversions
1 rad in ...
... is equal to ...
milliradians
1,000 milliradians
turns
1
/
2π
turn
degrees
180
/
π
≈ 57.296°
gons
200
/
π
≈ 63.662g
An arc of a circle with the same length as the radius of that circle subtends an angle of 1 radian. The circumference subtends an angle of 2π radians.
The symbol rad can be used to represent the radian (for example, an angle of 1.3 radians would be written as 1.3 rad), but this is often omitted, especially in mathematical writing.
Definition
History
Unit symbol
Conversions
Advantages of measuring in radians
Dimensional analysis
Use in physics
SI multiples
See also
Notes and references
External links
Last edited 2 months ago by InternetArchiveBot
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