Question

Convert 40°20'30'' by radian measure

Answer 1

Answer:

0.7037 rad

Step-by-step explanation:

40°20'30'' = 40° + (20/60)° + (30/3600)°

$(40 + \frac{1}{3} + \frac{1}{120} )deg$

$= \frac{4841}{120} deg$

Now we know that

$1deg = \frac{\pi}{180} rad$

So,

$\frac{4841}{ 120} deg = \frac{\pi}{180} \times \frac{4841}{120} rad$

$= 0.7037 \: rad$

$(where \: \pi = 3.14)$

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