Question

Expresse a medida em radianos 216°30'

Answer 1

:)
Trasformando minutos em graus:
$1^0 = 60' \\ x = 30' \\ \\ 60x=30 \\ x=30/60 \\ x= \frac{1}{2} ^0$
Somando os mesmos. 
$216^0 + \frac{1}{2}^0 = \frac{432+1}{2}^0 = \frac{433}{2}^0$

Transformando graus em radianos

$1^0 \ \ \ = \ \ \ \frac{ \pi }{180} radianos \\ \\ \frac{433}{2} ^0 \ \ \ \ \ x\ radianos \\ \\ x= \frac{433}{2}. \frac{ \pi }{180} \\ \\ x= \frac{433 \pi }{360} \ \ radianos$