What is $\frac{17 π}{12}$ $(17pi)/12$ radians in degrees?

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What is $\frac{17 π}{12}$ $(17pi)/12$ radians in degrees?

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Answer 1 · 2015-12-08T17:26:31

255 degrees

Explanation:

Use the ratio of radians to degrees.
One full circle is $360 degrees$ $360 "degrees"$ , or $2 π radians$ $2pi "radians"$
so $\frac{180 degrees}{π radians}$ $(180"degrees")/(pi"radians")$

$\frac{17 π}{12} \cdot \frac{180}{π} = 255$ $(17pi)/12*180/pi=255$

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What is $\frac{17 π}{12}$ $(17pi)/12$ radians in degrees?

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