What is $\frac{- 19 π}{12}$ $(-19pi)/12$ radians in degrees?

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Answer 1 · 2015-12-06T13:49:10

$x = 75^{\circ}$ $x=75^@$

Since a whole $360^{\circ}$ $360^@$ angle in degrees measures $2 π$ $2\pi$ radians, the proportion is

$x : 360 = \frac{\frac{- 19 π}{12}}{2 π}$ $x:360 = ((-19\pi)/12)/(2\pi)$

From which we have

$x = \frac{- 19 π}{12} \cdot \frac{1}{2 π} \cdot 360 = - 285$ $x=(-19\pi)/12 * 1/(2\pi)* 360 = -285$

And $- 285^{\circ}$ $-285^@$ is the same angle as $75^{\circ}$ $75^@$

What is −19π12(-19pi)/12 radians in degrees?