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The radian measure of a central angle of 90º is pi/2( = 1.5707963267948966).  What must the radian measure of a central angle of 180º be?  How can you tell without computing the radian measure? 

 Apr 24, 2016

Best Answer 

 #1
avatar+1904 
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\(180°=\pi\) radians

 

I know that becase \(1°=\frac{\pi}{180°}\) and if you multiply \(\frac{pi}{180°}\) by \(180°\) you get \(\frac{180°\pi}{180°}\) and if you reduce you get \(\pi.\)

 Apr 24, 2016
 #1
avatar+1904 
+10
Best Answer

\(180°=\pi\) radians

 

I know that becase \(1°=\frac{\pi}{180°}\) and if you multiply \(\frac{pi}{180°}\) by \(180°\) you get \(\frac{180°\pi}{180°}\) and if you reduce you get \(\pi.\)

gibsonj338 Apr 24, 2016

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