In the following figure there is semicir...

In the following figure there is semicircle with centre 'O' ane diameter `AB (= 2r)`. PQRS is a square of maximum possible area. P and Q lie on the diameter AB and R, S lie on the arc of the semicircle, there are two more squares of maximun possible area EFGP and CDQH. What is the sum of lengths of RC and FS?

`sqrt((2)/(5))(2r)`

`(2sqrt2r)/(5)`

`(sqrt2)/(5)r`

none of these

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