How do you convert #(4pi)/3# into degrees?

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Answer 1 · 2018-08-06T05:36:02

#" "#
#color(red)((4pi)/3=240^@#

#" "#
To convert a radian value into degrees: #color(red)(pi# radians #color(red)(= 180^@#

Given:

#color(blue)((4pi)/3#

To convert:

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

#rArr 180^@/cancel pi*(4 cancel pi)/3#

#rArr 720^@/3#

#rArr 240^@#

Hence,

#color(red)((4pi)/3=240^@#

Hope it helps.

Answer 2 · 2018-08-06T05:36:03

#(4pi)/3=240^0#

#(4pi)/3=?#
The angle is in radians
#pi# radians #=180^0#
Thus,
#(4pi)/3=(4 xx 180)/3=240^0#
#(4pi)/3=240^0#