How do you convert 150 degrees to exact radian measure?

1 Answer
Apr 23, 2015

Use:

#pi Radians = 180°#

e.g.for 53°: #Radians = ((53°)/(180°))*pi#.

So you could say that:
#x° Radians = (x° * pi)/180# where #x°# is the value to convert.

This gives:
#=0.925 Radians# (to 3DP)

So for your question:

#150° Radians = (x° * pi)/180#

#150° Radians = (150° * pi)/180#

#150° Radians = 471.239/180# (to 3DP)

#150° Radians = 2.618 Radians# (to 3DP)

I hope this helps!