Q. 24.0( 138 Votes )

Find the degree measures corresponding to the following radian measures (Use π = 22/7).

(i) 11/16

(ii) – 4

(iii) 5π/3

(iv) 7π/6

Answer :

(i) Given: radians


We know that 1 radian = °


= × = × = 39° + 3/8°

Therefore, 

radian = 39° 22' 30''


(ii) Given: - 4 radians


We know that 1 radian = °


-4 = - 4 × = -4 × = -229.09°

Now 1º = 60'

0.09º = 0.09 × 60 = 5.4'

Therefore, - 4 radians = - 229º 5.4'


-4 radian = 229.09°


(iii) Given: radian


We know that 1 radian = °


= × = 300°


radian = 300°


(iv) Given: radian


We know that 1 radian = °


= × = 210°


radian = 210°

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