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Rhombus and Circular Pool


Mr. X has a rhombus shaped backyard. He wants to build the biggest possible circular pool in his backyard. How he could do it?

 

 Extension - 1

Construct the biggest possible circular pool if the shape of the backyard is an n-sided regular polygon (square, pentagon, hexagon, etc.).


 Extension - 2

Devise a plan to construct the biggest possible circular pool for any given shaped backyard.


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