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Three circles are drawn inside a rectangle as shown. Circle C has a diameter of 3, Circle D has a diameter of 4, and Circle E has a diameter of 6. Circles C and D are tangent, as are circles D and E. The circles are tangent to various sides of the rectangle. Find the length of segment AB.

 

 May 6, 2020
 #1
avatar+1498 
+2

Diameter of D goes all the way to the horizontal location of C center.

 

Just add the diameters of D and E and radius of C.

 

6+ 4+ 3/2 = 11.5

 

If you don't understand anyhting feel free to ask.

 May 6, 2020
 #2
avatar+696 
+1

It's not that simple!

 

AB = 11.84846923    indecision

Dragan  May 7, 2020
edited by Dragan  May 8, 2020
 #3
avatar+30046 
+4

"Three circles are drawn inside a rectangle as shown. Circle C has a diameter of 3, Circle D has a diameter of 4, and Circle E has a diameter of 6. Circles C and D are tangent, as are circles D and E. The circles are tangent to various sides of the rectangle. Find the length of segment AB"

 

 May 7, 2020

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