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A circle has an arc of length 24π that is intercepted by a central angle of 80°.

What is the radius of the circle?

 

AngelRay  Feb 17, 2018
 #1
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+1

The answer is 54

Guest Feb 17, 2018
 #2
avatar+87293 
+1

We have

 

Arc Length  =   2pi * r  * ( Given Angle  / 360 )     .....so...

 

24 pi  =   2 pi  * r *  (80 /360)        divide out pi

 

24  =  2 * r *  ( 2/9)

 

24  =  (4/9) * r      multiply both sides by  9/4

 

24 (9/4)  =  r   =  (24/4) * 9  =  6 * 9   =  54  in

 

 

cool cool cool

CPhill  Feb 18, 2018

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