Physics - Center of Mass Question with Solution | TestHub

Figure shows a square lamina with a disc of radius $\frac{L}{2}$ removed from it which is now placed symmetrically over upper right quarter. What is location of centre of mass of system relative to origin shown in figure.\\ (A) $\frac{\pi \mathrm{L}}{12}(\hat{\mathrm{i}}+\hat{\mathrm{j}})$\\ (B) $\frac{\pi \mathrm{L}}{8}(\hat{\mathrm{i}}+\hat{\mathrm{j}})$\\ (C) $\frac{\pi \mathrm{L}}{4}(\hat{\mathrm{i}}+\hat{\mathrm{j}})$\\ (D) $\frac{\pi \mathrm{L}}{16}(\hat{\mathrm{i}}+\hat{\mathrm{j}})$