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Photonics Handbook

Angle Conversions

A chart listing angle conversions – Degree, Minute, Second, Radian, Milliradian, Circumference and Quadrant

Angle Conversions



    Angle Conversions        




 
degree           
min            
sec                 rad          mrad           
circumference            
quadrant


1 degree (°)


        
1          60          3600          1.7453 x 10—2          1.7453 x 101          2.778
x 10—3
         1.11112 x 10—2


 


 
                         


1 minute (')


        
1.66667 x 10—2          1         
60          2.9089 x 10—4          2.9089 x 10—1          4.6296
x 10—5
         1.8518
x 10—4


 


 
                         


1 second (")


        
2.77778 x 10—4          1.66667 x 10—2          1          4.8481 x 10—6          4.8481 x 10—3          7.71605
x 10—6
         3.0864
x 10—6


 


 
                         


1 radian (rad)


        
5.72958 x 101          3.43775 x 103          2.06265 x  105          1          103          1.59155
x 10—1
         6.3662
x 10—1


 


 
                         


1 milliradian (mrad)


           

5.72958 x 10—2          3.43775          2.06265  x  102          10—3          1          1.59155
x 10—4
         6.3662
x 10—4


 


 
                         


1 circumference           


                                

360          21,600          1,296,000          6.28319          6.28319 x 103           1          4


 


 
                         


1 quadrant



        
90          5400          324,000          1.5708          1.5708 x 103          0.25000          1
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