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The three circles are tangent to each other. Lines L1 and L2 are parallel, and are tangent to circles A&B, and to circles A&C respectively. The radius of circle B is 9 cm, and the radius of cricle C is 16cm. The area of cricle A exceeds the sum of the areas of cricles B and C by..?

 

If the diagram for the question is not visible to you, please click on this google drive link to view the image that way.

https://drive.google.com/file/d/12EiXX5-tkIzXLR23q-42bm4OcGT8zRSe/view?usp=sharing

Please help with this. 

 Oct 6, 2022
 #2
avatar+118135 
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I have the answer as I have drawn it to scale but I have not worked out a non-graphical solution.

It quite likely has something to do with similar figures but I really do not know

 

https://www.geogebra.org/classic/uw5jkefn

 

Circle A has a radius of 25 units.  This may be a close approximation but I suspect it is exact. Not really sure.

See the diagram.

 

 Oct 9, 2022

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