Question

The area bounded by the curves $\left|x\right|+\left|y\right|\ge 1$ and $x^2+y^2\le 1$ is:

• A. $2$ sq.unit
• B. $\pi$ sq.unit
• C. $(\pi -2)$ sq.unit
• D. $(\pi +2)$ sq.unit

Answer 1

The correct option is C $(\pi -2)$ sq.unit

From the figure shown
$\therefore$ Required Area$=$area of the circle$-$area of the square.
$=\pi {\left(1\right)}^2-{\left(\sqrt{2}\right)}^2$
$=(\pi -2)$.sq.unit