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Radian

A radian is the angle measured from the center of a circle whose arc length is equal to the length of the radius.

 


Explanation

The circumference of a circle is r, so a complete rotation corresponds to radians.

The relation between radians and degrees is therefore

360° = 2π radians = 6.283185307
180° = π radians = 3.141592654
90° = ½π radians = 1.570796327
45° = ¼π radians = 0.785398163

In trigonometric functions you use radians.

 


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