Mathematics - Area Under Curves Question with Solution | TestHub

Given that $(2\cos \theta ,2\sin \theta )$ will lie on the circle $x^2+y^2=4$ (from the given figure). Since, point lies on the region containing origin.So, point will be on the shaded region. $\therefore$ $\theta \in \left(\frac{\pi }{2},\frac{3\pi }{2}\right)$