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 $430°-360°=70°$ .

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