0.183 (subject to a VAR check)
Had to give up on this one.
Yes the diagonal does pass through the centre of the middle circle. But beyond that I could not get.
By extending lines etc there are loads of similar triangles but again I couldn't see how any of that would help.
By drawing I agree with your figure but by trig or other geometry it has me beat to the point I got quite annoyed and went and cleaned the study.
(I always clean something when I am angry, usually the kitchen, but we have a guy coming to fix the laser printer...)
:mad:
 
Had to give up on this one.
Yes the diagonal does pass through the centre of the middle circle. But beyond that I could not get.
By extending lines etc there are loads of similar triangles but again I couldn't see how any of that would help.
By drawing I agree with your figure but by trig or other geometry it has me beat to the point I got quite annoyed and went and cleaned the study.
This is how I did it ----

hippopuzzle3.jpg
 

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