How do you convert #(43pi)/18# into degrees?

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Answer 1 · 2015-04-19T18:03:08

With this proportion:

#alpha_d:alpha_r=180°:pi#

in whitch #alpha_d# is the measure of the angle in degree,

and #alpha_r# is the measure of the angle in radians.

So, if you want to convert an angle from radians in degree:

#a_d=(alpha_r*180°)/pi#

and if you want to convert an angle from degree to radians:

#a_r=(alpha_d*pi)/(180°)#.

In our case:

#a_d=(43/18pi*180°)/pi=430°#, that is more than #360°#, so we can say that the angle is similar to #430°-360°=70°#.