Definition of Radians. Meaning of Radians. Synonyms of Radians

Here you will find one or more explanations in English for the word Radians. Also in the bottom left of the page several parts of wikipedia pages related to the word Radians and, of course, Radians synonyms and on the right images related to the word Radians.

Definition of Radians

Radian
Radian Ra"di*an, n. [From Radius.] (Math.) An arc of a circle which is equal to the radius, or the angle measured by such an arc.

Meaning of Radians from wikipedia

- 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)...
- radian per second is also the unit of angular frequency. The radian per second is defined as the change in the orientation of an object, in radians,...
- for the vector quantity angular velocity. One revolution is equal to 2π radians, hence ω = 2 π T = 2 π f , {\displaystyle \omega ={{2\pi } \over T}={2\pi...
- angular measure is the radian, but it is mentioned in the SI brochure as an accepted unit. Because a full rotation equalsradians, one degree is equivalent...
- or π radians), to the results as necessary, until the magnitude of result is an acute angle, a value between 0 and 1/4 turn, 90°, or π/2 radians. For...
- expressed in degrees from 0° to 360°, or in radians from 0 to 2π. If the phase difference is 180 degreesradians), then the two oscillators are said to...
- face-centered cubic, and body-centered cubic lattices are π/2 radians, π/3 radians, and arccos(-1/3) radians, respectively. A rhombohedral lattice will result from...
- analogous to the radian, which quantifies planar angles. Whereas an angle in radians, projected onto a circle, gives a length on the cir****ference, a solid...
- follows: tan θ ≈ θ at about 0.176 radians (10°). sin θ ≈ θ at about 0.244 radians (14°). cos θ ≈ 1 − θ2/2 at about 0.664 radians (38°). The angle addition and...
- the function argument in units of radians per second φ {\displaystyle \varphi } = the phase, specifies (in radians) where in its cycle the oscillation...
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