In the adjoining diagram ABCD is a square with side 'a' cm. In the diagram the area of the larger circle with centre 'O' is equal to the sum of the areas of all the rest four circles with equal radii, whose centers are P, Q, R and S. What is the ratio between the diagonal of square and radius of a smaller circle?

In the adjoining diagram ABCD is a square with side 'a' cm. In the dia

1.	In the adjoining diagram ABCD is a square with side 'a' cm. In the diagram the area of the larger circle with centre 'O' is equal to the sum of the areas of all the rest four circles with equal radii, whose centers are P, Q, R and S. What is the ratio between the diagonal of square and radius of a smaller circle?
A.	\[\left( 2\sqrt{2}+3 \right)\]
B.	\[\left( 2+3\sqrt{2} \right)\]
C.	\[\left( 4+3\sqrt{2} \right)\]
D.	can't be determined
Answer» C. \[\left( 4+3\sqrt{2} \right)\]

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