Find area of the region enclosed by the ...

Find area of the region enclosed by the circle `x^(2) + y^(2) = 1` and which is not common to the region bounded by `|x + y| le 1` and `x - y | le 1`

A

`pi - 1`

B

`pi - sqrt(2)`

C

`pi - 2`

D

`pi - sqrt(3)`

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The correct Answer is:

C

Area of circle `=pi r^(2) = pi`
Area enclosed by sq = 2
so required area `pi - 2`

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