What is #(-3pi)/4 # radians in degrees?

2 Answers
Aug 14, 2018

#color(maroon)(= -135^@ = 225 ^@#

Explanation:

#-(3pi) / 4 #

#=> ((((-3pi)/4) * 180) / pi)^@#

#=>- ((3 cancel(pi) * cancel(180)^color(red)(45)) / (cancel(4) * cancel(pi)))#

#=> -135 = 360 - 135 = 225^@#

Aug 14, 2018

#-135^@#

Explanation:

#"to convert from radians to degrees"#

#color(red)(bar(ul(|color(white)(2/2)color(black)("degree measure"="radian measure"xx180/pi)color(white)(2/2)|)))#

#"degrees "=(-3cancel(pi))/cancel(4)^1xxcancel(180)^45/cancel(pi)=-3xx45=-135^@#