Question

converter em radianois 300°,330°,125° e 210°?

Answer 1

300°

300---x
180---$\pi rad$

180°x=300$\pi$ . rad
$x= \frac{300 \pi .rad}{180}$
$x= \frac{5}{3} \pi rad$

330°
330---x
180---$\pi rad$
180x=330$\pi$
x=$\frac{330\pi}{180}$
$x= \frac{11 \pi }{6}rad$

125°
125---x
180--- $\pi rad$
180x = 125$\pi$
$x= \frac{125 \pi }{180}\\x= \frac{25 \pi }{36}rad$

210°
210---x
180---$\pi rad$
180x=210$\pi$
$x= \frac{125 \pi }{180}$
$x= \frac{7 \pi }{6}rad$

Answer 2

Lembre-se: 180 graus equivale a pi rad
30 graus equivale a pi/6 rad

Assim:

300° = 10 pi /6 = 5 pi / 3 rad

330° = 11 pi /6 rad

210° = 7 pi / 6 rad

Finalmente:

180°  ----------------- pi rad
125° -----------------  x rad

x = 125pi / 180 = 25 pi / 36  rad