The area of the region described by

Question:

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

  1. $\frac{\pi}{2}+\frac{4}{3}$

  2. $\frac{\pi}{2}-\frac{4}{3}$

  3. $\frac{\pi}{2}-\frac{2}{3}$

  4. $\frac{\pi}{2}+\frac{2}{3}$


Correct Option: 1

Solution:

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