+0  
 
0
708
2
avatar+1015 

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

What is the radius of the circle?

 

 Feb 17, 2018
 #1
avatar
+1

The answer is 54

 Feb 17, 2018
 #2
avatar+94526 
+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

 Feb 18, 2018

16 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.