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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 (360Â° is equal to 2*pi radians), the circumference (length of an 'arc' going all the way around the circle) is 2*pi*radius.

Q: Why do you have to convert degrees to radian?

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-1.257 radian

Because a radian is a far more versatile unit of measurement, especially in advanced mathematics.

Degrees = (180/pi)*Radians

A radian is 180/pi degrees, or about 57 degrees

180 degrees = 1 pi radian. That means that there are 2 pi radians in a circle. Divide the number of degrees by 180 and you get the pi radians. You can also multiply the pi radians by 180 and get the number of degrees.

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-1.257 radian

0.3491 radian (rounded)

You do not convert. STERADIAN is a two dimensioal measurement RADIAN is a one dimensional measurement. Just as you cannot convert area into degrees (of angular measurement)

Because a radian is a far more versatile unit of measurement, especially in advanced mathematics.

Degrees = (180/pi)*Radians

One radian is about 57.3 degrees

A radian is 180/pi degrees, or about 57 degrees

180 degrees = 1 pi radian. That means that there are 2 pi radians in a circle. Divide the number of degrees by 180 and you get the pi radians. You can also multiply the pi radians by 180 and get the number of degrees.

The radian is 0.523598776

n degrees = n*tau/360 or n*pi/180 radians.

A radian is exactly 180 / pi degrees, approximately 57.30 degrees.

To convert from degrees to radians, multiply the number of degrees by (pi / 180). Pi is approximately 3.1416.