Convert the following radian measure into degree measure, i) 6 ii) -4 iii) 5π/3 iv) 7π/6 v) 11/16

Question

Convert the following radian measure into degree measure, 

i) 6 

ii) -4 

iii) \(\frac{-5 \pi}{3}\)

iv) \(\frac{7\pi}{6}\)

v) \(\frac{11}{16}\)

Answer 1

i) 6 = 6 x \(\frac{180}{\pi}\) = \(\frac{1080}{\pi}\) = \(\frac{1080}{22} \times 7\) = 343 \(\frac{7 ^\circ}{11}\)

ii) -4 = -4  x \(\frac{180}{\pi}\)= \(\frac{720}{22} \times 7\) 

= \(-\frac{360}{11} \times 7 = -229\frac{1^\circ}{11}\)