What is #(-5pi)/8 # radians in degrees?

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Answer 1 · 2016-03-01T04:10:59

#-112.5˚#

To convert from radians to degrees, multiply the radian measure by #(180˚)/pi#.

#(-5pi)/8((180˚)/pi)=(-5(45˚))/2=(-225˚)/2=-112.5˚#

Answer 2 · 2016-04-04T03:43:36

#-112.5#

Remember this:
To convert radians into degrees, multiply it by #(180)/pi#

So,

#rarr(-5pi)/8(180/pi)#

Cancel the #pi^'s#

#rarr(-5cancelpi^1)/8(180/cancelpi^1)#

#rarr(-5)/8(180)#

Cancel #8# with #180#

#rarr(-5)/cancel8^2(cancel180^45)#

#rarr(-5(45))/2#

#rarr-(225)/2#

#color(green)(rArr-112.5^circ#