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
`(180x)/(\pi)`=degrees

so pi/9 radians is
`(180((\pi)/(9)))/(\pi)=(20\pi)/(\pi)=20^o`
20 degrees is pi/9 radians

the other one is easy as well

-5pi/12

`(180((-5\pi)/(12)))/(\pi)=(75\pi)/(\pi)=-75^o`
-75 degrees or 360-75=285 degrees