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radian Definition

ra·dian (rā′dē ən)

noun

the basic unit of plane angle in the SI system, equal to 57°, 17′, 44.8″ (57.29578°, the angle formed at the center of a circle by two radii cutting off an arc whose length is equal to the radius of the circle): one degree equals 0.017454 radian and 360 degrees equals 2π radians: abbrev. rad

Etymology: < radius

radian Telecom Definition

From the Latin radius. A unit of plane angular measurement equivalent to the angle between two radii that enclose a section of a circle's circumference (arc) equal in length to the length of a radius.There are 2 radians in a circle. See also frequency and radius.

radian Usage Examples

Converse of object

use: When you are doing calculus you always use radians.

Adjective modifier

  • 2p: This means that in any circle, there are 2p radians.
  • specified: Subsequent rendering is rotated by the specified radians relative to the previous origin.
  • pi/2: It will be reflected undergoing a phase change of pi/2 radians?
  • 2pi: This means that 360° is the same as 2pi radians or 180° is pi radians.

Modifies a noun

  • angle: FSINCOS ANS r1 - r2 r3 r2 is the sine of the radian angle r1. r3 is the cosine of the radian angle r1.
  • measure: Radian measure Most people usually learn to measure an angle in degrees.
  • argument: SIN A function giving the sine of its radian argument.
  • r1: FSINCOS ANS r1 - r2 r3 r2 is the sine of the radian angle r1. r3 is the cosine of the radian angle r1.
  • unit: Keywords DEGREES By default, all angular inputs and keywords are assumed to be in radian units.

Noun used with modifier

  • pi: Therefore, there is a full 360 degrees or 2 pi radians of phase shift for reflections from a load HALF a wavelength away.
  • p: Two common methods are to use 360 degrees, or 2 p radians.
  • milli: The beam expanders had reduced the divergence to just less than 0.4 milli radians.
  • micro: For the most commonly used cut of silicon crystal, this angular range is approximately 3 micro radians.

Preposition: of

oscillation: A definition of Q is " Energy stored in the cavity divided by energy dissipated per radian of oscillation " .

Preposition: for

angle: The internal units of the variables are bohr for bond lengths and radians for angles.