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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##