Question

Convert 55° 16' 30" into radian measure.​

Answer 1

Given 55° 16' 30"

$Converting : \\minutes\: to\:degree :$

$16\: minutes = \frac{16}{60} = 0.27\degree$

$Converting : \\Seconds \: to\:degree :$

$30\: seconds = \frac{30}{3600} = 0.008\degree$

Now,

55° 16' 30"

= 55° + 0.27 + 0.008

= 55.278°

$Converting \:this \:value \:to \:radians \\= 55.278 \times \frac{\pi}{180} \\= 0.9648 \:radians$

Therefore.,

55° 16' 30" = 0.9648 radians .

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Answer 2

Answer:

GIVEN 55° 16' 30"

converting :

minutes to degrees:

16 minutes = 16/60 = 0.27°

converting :

seconds to degree :

30 seconds = 30/3600 = 0.008°

NOW,

55° 16' 30"

= 55° + 0.27 + 0.008

= 55.278°

converting this value to radians .

= 55.278 × π/180

= 0.9648 radians

therefore,,

55° 16' 30" = 0.9648 radians .

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