The area of the region described by $A = \left\{ {\left( {x,y} \right):{x^2} + {y^2} \le 1} \right.$ and $\left. {{y^2} \le 1 - x} \right\}$ is :

Question

The area of the region described by
$A = \left\{ {\left( {x,y} \right):{x^2} + {y^2} \le 1} \right.$ and $\left. {{y^2} \le 1 - x} \right\}$ is :

${\pi \over 2} - {2 \over 3}$

${\pi \over 2} + {2 \over 3}$

${\pi \over 2} + {4 \over 3}$

${\pi \over 2} - {4 \over 3}$

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