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Mathematics-Online problems:

Interactive Problem 1355: Inscribed Circles

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
The figure shows a circle with radius 1 and six inscribed circles with radius $ r.$


\includegraphics[width=0.5\linewidth]{TdM_08_A2_bild1.eps}


Determine $ r$ as well as the area $ A$ and the circumference $ C$ of the shaded area.


Answer:

$ r = $  
$ A = $  
$ C = $  

(The results should be correct to four decimal places.)


   

(From: Mathematics Contest 2008)
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  automatically generated: 8/11/2017