Question Number 144210 by bramlexs22 last updated on 23/Jun/21
Answered by liberty last updated on 23/Jun/21
$$\mathrm{shaded}\:\mathrm{area}\:=\:\left(\frac{\mathrm{6}+\mathrm{2}}{\mathrm{2}}\right).\mathrm{4}\sqrt{\mathrm{3}}−\frac{\pi}{\mathrm{6}}.\mathrm{36}−\frac{\pi}{\mathrm{3}}.\mathrm{4} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\mathrm{16}\sqrt{\mathrm{3}}−\frac{\pi}{\mathrm{6}}\left(\mathrm{36}+\mathrm{8}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\mathrm{16}\sqrt{\mathrm{3}}−\frac{\mathrm{44}\pi}{\mathrm{6}}\:=\:\mathrm{16}\sqrt{\mathrm{3}}−\frac{\mathrm{22}\pi}{\mathrm{3}}\: \\ $$