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

2 Answers
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°.

75^@

Explanation:

pi radians = 180^@

Now...

5/12 * pi radians = 5/12 * 180^@

Therefore:

5pi/12 radians = 75^@