Question

find radian measure of 5 degree 37 minute 30 second



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Answer 1

$\large\underline\mathfrak\red{Solution \: :- }$

$\sf{5°37'30"}$

We know that,

1 minute = 60 seconds

30seconds = 0.5 minutes

Adding,

37 + 0.5 = 37.5 minutes

Converting 37.5 minutes in degree

37.5 = 0.625° degree

Adding degrees

5 + 0.625 = 5.625°

We know that,

π Radians = 180°

$\sf{1° = \frac{\pi}{180° } }$

Multiplying 5.625° both sides

$\sf{5.625° = \frac{π×5.625°}{180°} }$

$\sf{5.625° = 0.098}$

${{\underline{\boxed{\sf{\red{5°37'30" = 0.098 \: Radians }}}}}}$