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Discover LudwigThe word "radian" is correct in written English.
It is used in mathematics and physics to measure angles, specifically in relation to the radius of a circle.
Example: "The angle of the sector is measured in radians, which is essential for calculating the area."
Alternatives: "Angle measure" or "Circular measure."
Dictionary
radian
noun
In the International System of Units, the derived unit of plane angular measure of angle equal to the angle subtended at the centre of a circle by an arc of its circumference equal in length to the radius of the circle. Symbol: rad
synonyms
Exact(41)
Because the sine of a small angle is equal to the radian measure of the angle itself, however, a paraxial ray can be traced by reducing the ray-tracing formulas to their limiting case for small angles and thus determining the paraxial intersection point directly.
Derived from the Greek for solid and the English word radian, a steradian is, in effect, a solid radian; the radian is an SI unit of plane-angle measurement defined as the angle of a circle subtended by an arc equal in length to the circle's radius.
In theoretical work, the radian is the most convenient unit.
The most common units are the degree and the radian.
Every so often he switched to guitar, an instrument Radian added on its 2009 album "Chimeric" (Thrill Jockey); he scraped the strings, dispensed stray chords or administered furious and exact bursts of tremolo strumming.
MGIC Investment, which is based in Milwaukee, filed its lawsuit after saying on Aug. 7 it did not believe it had to complete its acquisition of Philadelphia-based Radian.
Similar(19)
The slope of the sine curve at any point (which is to say the rate of change of x with respect to θ) is in fact equal to the height of cosine at that point, if the angle is measured in radians - this is one of the reasons mathematicians like radians.
Sine and cosine are functions, which is to say that they take one number (an angle in this case, usually expressed in degrees or radians) and spit out another.
For example, to compute the sine of 10°, it is necessary to find the value of sin π/18 because 10° is the angle containing π/18 radians.
Figure 22 shows an example with V0 = 170 volts and ω = 377 radians per second, so that V = 170 cos(377t).
If the cosine and sine functions are defined as the projections on the x- and y-axes, respectively, of a point moving on a unit circle (a circle with its centre at the origin and a radius of 1), then these functions will repeat their values every 360°, or 2π radians.
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