How do you convert (5pi)/12 into degrees?

Apr 19, 2015

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=(5/12pi*180°)/pi=75°.

Apr 19, 2015

${75}^{\circ}$

Explanation:

$\pi$ radians = ${180}^{\circ}$

Now...

5/12 * $\pi$ radians = $\frac{5}{12} \cdot {180}^{\circ}$

Therefore:

5$\pi$/12 radians = ${75}^{\circ}$