CONVERTING RADIAN TO DEGREE MINUTE SECOND

1° = 60 minutes = 60'

1 minute = 60 seconds = 60''

To convert 1 minute to degree, we have to multiply the given minute by 1/60

To convert 1 second to degree, we have to multiply the given minute by 1/3600

To convert from radians to degrees, multiply by 180/π

radiantodegree

Find the degree measure corresponding to the following radian measures :

Problem 1 :

(2π/15) c

Solution :

= (2π/15)

= (2π/15)  (180/π)

= 24°

Problem 2 :

(1/4)c

Solution :

= (1/4)

= (1/4)  (180/π)

Coionverting into mixed fraction, we get1 degree = 60 minuteminutesConverting 1/11 to seconds

Problem 3 :

-2c

Solution :

= -2 c

= (-2c)  (180/π)

Converting 6/11 as minutesminutesConverting 8/11 as secondsSo, the answer is 114° 32' 44''

Problem 4 :

6c

Solution :

= 6 c

= (6c)  (180/π)

Converting 7/11 to minutesminutesConverting 2/11 to secondsSo, the answer is 343° 38' 11''

Problem 5 :

(11/16)c

Solution :

= 6 c

= (6c)  (180/π)

Converting 3/8 to minutesminutesConverting 1/2 to secondsSo, the answer is 39° 22' 30''

Problem 5 :

-3c

Solution :

= -3 c

= (-3c)  (180/π)

Converting 9/11 to minutesminutesConverting 1/11 to secondsSo, the answer is 171° 49' 5''

Problem 6 :

11c

Solution :

= 11 c

= (11c)  (180/π)

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