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Radian is a more natural way of expressing an angle. By this I mean it is related to the natural relationship between a circle (actually an arc of a circle) and the radius of the circle, while degrees are a measurement created by man.
If you take an angle of 1 radian, the measurement along the arc is equal to the length of the radius. Hence the term radian has the same root as radius. So if you multiply the angle measurement (in radians) by the radius, then you have the length of the arc.
If you have a full circle (360° is equal to 2*pi radians), the circumference (length of an 'arc' going all the way around the circle) is 2*pi*radius.
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Convert negative 72 degrees to radian measure?
-1.257 radian
Why convert degrees to radian?
Because a radian is a far more versatile unit of measurement, especially in advanced mathematics.
Convert from radian measure to degree measure?
Degrees = (180/pi)*Radians
What is a radian equal to?
A radian is 180/pi degrees, or about 57 degrees
What is a radian of 30 degrees?
The radian is 0.523598776
