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Radian Measure

Definition

Radian measure is the ratio of the length of a circular arc (a) to the radius of the arc (r).

Since radian measure is the ratio of a length to a length, the result is a pure number that needs no unit symbol. Most mathematicians do not write a unit attached to this ratio, although some people add the unit "radians" (symbol: "rad"), to indicate an angular measure, or length along a unit circle.

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