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The number of degrees in one radian.

2radians = 360^o

Therefore, radians = 180^o

  
So, 1 radian = 57.3^o

The number of arc seconds in one radian:

The number of radians in one arc second:

206264.8 arc seconds = 1 radian

Divide both sides of the equation by 206264.8.

One second is approximately equal to 4.85 X 10^-6 radians.