# An angle of 1 radian

The proportion of the radian and other units of angular measurement is described by the formula:

Obviously, a flat angle equals 180° or (π·R)/R = π rad.

This suggests a trivial formula of translation from degrees, minutes, and seconds to radians and vice versa.

where α[rad] is an angle measured in radians, and [°] is an angle measured in degrees.

More specifically:

# The value of 1 radian in minutes

More specifically:

# The value of 1 radian in seconds

More specifically:

In the metric system of angular measurements, a right angle is divided into 100 grads, and each grad is divided into 100 centigrads, which in turn is divided into hundredths of a centigrad, so r” (or 1 rad in hundredths of centigrad) = (400·100·100)/2 π = 636620.