What is #(pi)/6 # radians in degrees?

2 Answers
Max
Jan 2, 2016

#pi/6# radians is 30 degrees

Explanation:

A radian is the angle subtended such that the arc formed is the same length as the radius.
There are #2pi# radians in a circle, or 360 degrees. Therefore, #pi# is equal to 180 degrees.
#180/6=30#

Noah G
Jan 2, 2016

You can convert between radians and degrees using the formula
x = ø(#180/π#), assuming x degrees represents the angle that you want to find.

Explanation:

x = #π/6#(#180/π#)

x= #(180π)/(6π)#

x= 30˚

So, #π/6# measures 30˚.

Hopefully you understand now.

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