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The radian measure equivalent to 150º is

 Jul 16, 2014

Best Answer 

 #3
avatar+118652 
+5

What Stu has said is correct.

$$\begin{array}{rll}
360^0&=&2\pi\\\\
180^0&=&\pi\\\\
1^0&=&\frac{\pi}{180}\\\\
150^0&=&\frac{150\pi}{180}\\\\
150^0&=&\frac{5\pi}{6}\\\\
150^0&\approx&2.618\;\;radians\\\\

\end{array}$$

 Jul 16, 2014
 #1
avatar
+3

 5π
 6  = 5· π
6 = 5· 30° = 150°

 Jul 16, 2014
 #2
avatar+1313 
+5

There is plenty of google answers for this. 

  1. Therefore, there are  2 pi radians in a full circle. We also know that there are 360 degrees in a circle. So, there are 360 degrees per  2 pi radians. Dividing 360 by 2 pi give us the value of about  57.2957 degrees per radian.

    Additionally, you can use a calculator online to calculate this. If you want to know how to calculate it there should be a different question. 

    A calculated answer to op's question gives 2.617993878 radian for 150 degrees. Which is 150 / value for radian. 

    I do not know what anonymous post was describing. This is information you can check online. Hope that helps.
 Jul 16, 2014
 #3
avatar+118652 
+5
Best Answer

What Stu has said is correct.

$$\begin{array}{rll}
360^0&=&2\pi\\\\
180^0&=&\pi\\\\
1^0&=&\frac{\pi}{180}\\\\
150^0&=&\frac{150\pi}{180}\\\\
150^0&=&\frac{5\pi}{6}\\\\
150^0&\approx&2.618\;\;radians\\\\

\end{array}$$

Melody Jul 16, 2014

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