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Question-104445




Question Number 104445 by ajfour last updated on 21/Jul/20
Commented by ajfour last updated on 21/Jul/20
The central circle has radius b.  The three smallest circles have  radii a, wbile the outer circles  have radii c. Find c in terms  of b and a when it is in contact  with central one (radius b) and  two small circles of radii a.
$${The}\:{central}\:{circle}\:{has}\:{radius}\:{b}. \\ $$$${The}\:{three}\:{smallest}\:{circles}\:{have} \\ $$$${radii}\:{a},\:{wbile}\:{the}\:{outer}\:{circles} \\ $$$${have}\:{radii}\:{c}.\:{Find}\:{c}\:{in}\:{terms} \\ $$$${of}\:{b}\:{and}\:{a}\:{when}\:{it}\:{is}\:{in}\:{contact} \\ $$$${with}\:{central}\:{one}\:\left({radius}\:{b}\right)\:{and} \\ $$$${two}\:{small}\:{circles}\:{of}\:{radii}\:{a}. \\ $$
Commented by ajfour last updated on 21/Jul/20
See Q.104411  for mrW sir′s  solution. (Easy and nice!)
$${See}\:{Q}.\mathrm{104411}\:\:{for}\:{mrW}\:{sir}'{s} \\ $$$${solution}.\:\left({Easy}\:{and}\:{nice}!\right) \\ $$

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