Question

find radian measure corresponding to 5 degree 37 minutes and 30 seconds

Answer 1

Answer:

Step-by-step explanation:

Note:Degree is written as °, minute as '  and second as  "

The given angle = 5 degree 37 minutes and 30 seconds

=5°37'30"

We know that

1 minute=60 seconds

30 seconds=1/2 minute

=0.5 minute=0.5'

So 5°37'30"=5°37.5'-------------------(1)

Now 37.5,=37.5/60=0.625°

So 5°37'30"=5.625°----------------------(2)

Again we know that

180°= π radian

1°= π/180 radian

5.625°=5.625π/180 radian

putting   π=3.14

5.625°=5.625*3.14/180 radian

= 0.098125 radian

Hence 5 degree 37 minutes and 30 seconds = 0.098125 radian