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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