What is the radian measure of 270 degrees?

To go from to degree measure you perform the following conversion:

##(pi(radians))/180^o*(degrees)=radians##

To go from degree measure to radian measure you perform the following conversion:

##180^o/(pi(radians))*(radians)=degrees##

So, we are given ##270^o## and we want to convert it into radian measure. So, we perform the following conversion:

##(pi(radians))/180^o*(degrees)=radians##

##(pi(radians))/180^o*(270^o)=((270pi)/180radians)=(3pi)/2radians##

So, our answer is: ##(3pi)/2##