i need to determine position of circle inside square,let us suppose that we have following picture
we have following informations:
1.$ABCD$ is square
2.all small figures ,$KMCE$,$PKEF$,$NPFD$ are square as well
3.diamter of small circle is equal to $6$ cm
problem:
we have to find area of $ABCD$ square
problem what i have is that i dont know how to express small sides of small squares in terms of diameter or radius or even find relationship between big square and circle.clearly it is not obvious that center of circle is located on intersection points of diagonals,please help me ,maybe it is very simple and i dont see key fact,but please give me a hint and i will try to get point of main idea of solution of this problem.thanks in advance