Question

find the radian measures corresponding to the following degree measures 1)5° 37' 30'' 2)-14° 20' 15''​

Answer 1

Answer:

1) 5 degree 37 minute 30 second=0.098 Radians.

2) -14 degree 20 minute 15 second =  -0.250236582 radians

Explanation:

1 ) 5°37'30"

First change the whole expression into the degree.

We know that the 1 minute=60 seconds.

So,30 second = 0.5 minutes.

1 degree=60 minutes

So, 37.5 minutes =0.625 degree

5°37'30"=5°+0.625°=5.625°

We know that the

Radians=180°            

$1 degree = pie/180$          ....................(1)

So,multiply equation (1) both sides by 5.625

we get,

$5.625 degree = \pi /180 * 5.625$

= 0.098

So,

5 degree 37 minute 30 second=0.098 Radians.

same thing done with question 2

Answer 2

Answer:

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