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

1 Answer
Johnson Z.
Dec 10, 2015

Recall:
#360^@=2pi# #radians#, #180^@=pi# #radians#

To convert #(-4pi)/3# to degrees, multiply the fraction by #180^@/pi#. Keep in mind that #180^@/pi# has a value of #1#, so the answer does not change. Instead, only the units are changed:

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

#=(-4color(red)cancelcolor(black)pi)/color(green)cancelcolor(black)3 * color(green)cancelcolor(black)(180^@)^(60^@)/color(red)cancelcolor(black)pi#

#=-4*60^@#

#=-240^@#

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