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The area of the region {(x,y)//x^(2)+y^(...

The area of the region `{(x,y)//x^(2)+y^(2)le1le x+y}` is

A

`(pi)/(2)+(4)/(3)`

B

`(pi)/(2)-(4)/(3)`

C

`(pi)/(2)-(2)/(3)`

D

`(pi)/(2)+(2)/(3)`

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