Question

How do you convert 3.14/9 into radians

Answer 1

Radians are in pi format

360 degrees=2pi radians

x/360=y/2pi
x/180=y/pi
if we wanted to convert from radians to degrees then
if we had x radians then $\frac{180x}{\pi}$=degrees

so pi/9 radians is $\frac{180(\frac{\pi}{9})}{\pi}=\frac{20\pi}{\pi}=20^o$
20 degrees is pi/9 radians

the other one is easy as well

-5pi/12
$\frac{180(\frac{-5\pi}{12})}{\pi}=\frac{75\pi}{\pi}=-75^o$
-75 degrees or 360-75=285 degrees