A Circle of Radius r has a Circumference of 2πr,a Circle of radius 1 unit has circumference 2π.When ɵ is a complete rotation,P travels the Circumference of an unit circle completely.

If ɵ is a complete rotation then ɵ =2πradian.onthe other hand we already know that one complete rotation is 360

^{o},Consequently,360

^{o}=2π radians or 180

^{o}=π radian.It Follows that 1

^{o}=π/180 radian and 180

^{o}/π=1 radian.Therefore 1

^{o}=0.01746 approximately radian and 1 radian=180

^{o}x7/22=57

^{o}16' approximately.

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