Question

Express the following angles in radian measure :
i) ${520}^o$
ii) $-{310}^o$
iii) ${630}^o$
iv) $-{22}^o{30}^{\prime }$

Answer 1

i) 520

$=520\times \frac{\pi }{180}$

$=\frac{26\pi }{9}$

ii) -310

$=-310\times \frac{\pi }{180}$

$=\frac{-31\pi }{18}$

iii)630

$=630\times \frac{\pi }{180}$

$=\frac{7\pi }{2}$

iv) -22 30'

$=-(20+30)$

$=-(20+\frac{30}{60})$

$=-\frac{45}{2}$

$=-\frac{45}{2}\frac{\pi }{180}$

$=-\frac{\pi }{8}$