Question

Calculate the angle for 1.1 degree,1’(arc minute),1"(arc radiance) in radiance

Answer 1

We Know π radius = 180°

Or , 180° = π radian

Or, 1°= π /180 radian

a) Hence 1°= π / 180 radian

b) 1°= 60 [ here indicate minutes ]

1°= π / 180 radian

60° = π /180

1° = π / (180 × 60 ) = π / 10800 radian

Hence 1 min = π / 10800 radian

c) 1° = 60" ( " indicate second )

1° = π / 10800 radian

60° = π / 10800 radian

1° = π / ( 10800 × 60) = π / 648000

Hence 1° = π / 648000 radian

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