Question

The area of the smaller region bounded by the circle $x^2+y^2=1$ and the lines $|y|=x+1$ is

• A. $\frac{\pi -2}{4}$ Sq. units
• B. $\frac{\pi -2}{2}$ Sq. units
• C. $\frac{\pi +2}{2}$ Sq. units
• D. $2\pi -1$ Sq. units

Answer 1

The correct option is B $\frac{\pi -2}{2}$ Sq. units

Required area $=2(\frac{\pi r^2}{4}-\frac{1}{2}ab)$ where r = 1, a = 1, b = 1