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

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Answer 1 · 2016-01-02T13:37:50

Take note that π corresponds to 180 degrees.
Answer is #22.5^o#

#π# is equal to #180^o#
#π/8# is equal to #x#

#π/180=(π/8)/x#

#x*π=180*π/8#

#x=180/8#

#x=22.5^o#

Answer 2 · 2016-01-02T13:39:04

Just remember the proportion: #2pi=360^º#

#2pi <=> 360^º#
#pi/8 <=> x#

Cross multiplying it:

#2pix=360^º(pi/8)#

#((2*8)cancel(pi)x)/cancel(pi)=360^º#

#16x=360^º#

#x=360^º/16=22.5^º#