Question

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

Answer 1

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°`.