Question

Express the 42 degree 57 minute 16 second in radian

Answer 1

Step-by-step explanation:

42°57'16"1"=(13600)∘16"=(13600×16)∘=0.0045°1'=(160)∘⇒57'=(160×57)∘=0.95°So we have42°57'16"=42°+0.95°+0.0045°=42.9545°1°=π180 radians   [π≈3.1415]⇒42.9545°=(π180×42.9545) radians≈0.7493 radians

Answer 2

The value  of  42 degree 57 minute 16 second in radian is 0.7496 radians

Step-by-step explanation:

we know that

1° = 60' = 3600 ''

thus

42 degree 57 minute 16 second

= $42 + \frac{57}{60}+ \frac{16}{3600}$

= 42.954444°

now , converting into radius multiply it by $\frac{\pi}{180}$

we get

$42.95444^\circ \times \frac{\pi}{180}\\\\=0.2388 \pi\\\\= 0.7496...$

hence , The value  of  42 degree 57 minute 16 second in radian is 0.7496 radians

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