How do you convert #20^circ# into radians?

1 Answer

#pi/9#

Explanation:

We can convert degrees into radians (and radians to degrees) by remembering that #180^o=pi " radians"#. We can set up a ratio from this relationship to find any measure we need.

#pi/180^o=(x)/20^o#

#20^opi=(x)(180^o)#

divide through by #180^o# to get:

#(20^opi)/(180^o)=x#

#x=pi/9#