find radian measure of 5 degree 37 minute 30 second



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1 thought on “find radian measure of 5 degree 37 minute 30 second<br /><br /><br /><br />​”

1. [tex]\large\underline\mathfrak\red{Solution \: :- }[/tex]

   [tex]\sf{5°37’30”}[/tex]

   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°

   [tex]\sf{1° = \frac{\pi}{180° } } \\ [/tex]

   Multiplying 5.625° both sides

   [tex]\sf{5.625° = \frac{π×5.625°}{180°} } \\ [/tex]

   [tex]\sf{5.625° = 0.098}[/tex]

   [tex]{{\underline{\boxed{\sf{\red{5°37’30” = 0.098 \: Radians }}}}}}[/tex]

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