Question Number 221056 by fantastic last updated on 23/May/25
Answered by Frix last updated on 24/May/25
$$\mathrm{Area}\:\mathrm{of}\:\mathrm{trapezoid}\:=\frac{\mathrm{16}+\mathrm{22}}{\mathrm{2}}{h}=\mathrm{19}{h} \\ $$$${h}=\sqrt{\mathrm{4}^{\mathrm{2}} −\left(\frac{\mathrm{22}−\mathrm{16}}{\mathrm{2}}\right)^{\mathrm{2}} }=\sqrt{\mathrm{7}} \\ $$$${r}=\frac{\sqrt{\mathrm{7}}}{\mathrm{2}} \\ $$$$\mathrm{Shaded}\:\mathrm{area}\:=\:\mathrm{19}\sqrt{\mathrm{7}}−\frac{\mathrm{7}\pi}{\mathrm{4}} \\ $$