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

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Answer 1 · 2015-04-19T17:59:56

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°#.

Answer 2 · 2015-04-19T18:16:49

#75^@#

#pi# radians = #180^@#

Now...

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

Therefore:

5#pi#/12 radians = #75^@#