Question

0.3 Convert the following angles in degree
i) 7π/12
ii)-5π/3
iii)5
iv)11π/18
v) -1/4​

Answer 1

i)

$\frac{7\pi}{12} \times \frac{180 {}^{o} }{\pi}$

$= 7 \times {15}^{o}$

$= {105}^{o}$

ii)

$\frac{ - 5\pi}{3} \times \frac{ {180}^{o} }{\pi}$

$= - 5 \times {60}^{o}$

$= { - 300}^{o}$

iii)

$5 \times \frac{ {180}^{o} }{\pi}$

$= 5 \times \frac{180 \times 7}{22}$

$= 5 \times \frac{630}{11}$

$= { \frac{3150}{11} }^{o}$

iv)

$\frac{11\pi}{18} \times \frac{ {180}}{\pi}$

$= 11 \times \frac{10 \times 7}{22}$

$= \frac{10 \times 7}{2}$

$= {35}^{o}$

v)

$\frac{ - 1}{4} \times \frac{ {180}^{o} }{\pi}$

$= \frac{ - 45 \times 7}{22}$

$= {\frac{ - 315}{22} }^{o}$

You can change the fraction answer into mins and seconds.

Answer 2

0.3 convert the following angles in degree

• i) 7π\12
• ii) 5π\3
• iii) 5c
• iv)11π\18
• v) -1\4