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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