Question Number 89099 by naka3546 last updated on 15/Apr/20
Commented by naka3546 last updated on 15/Apr/20
$${If}\:\:{AB}\:=\:{AF}\:=\:{AC}\:=\:\mathrm{1} \\ $$$${Area}\:\:{of}\:\:{region}\:\:{that}\:\:{bordered}\:\:{by}\:\:{red}\:\:{line}\:\:{is}\:\:... \\ $$
Answered by mr W last updated on 15/Apr/20
Commented by mr W last updated on 15/Apr/20
$${BH}=\mathrm{2} \\ $$$${BF}=\sqrt{\mathrm{2}} \\ $$$$\Rightarrow{FH}=\mathrm{2}−\sqrt{\mathrm{2}} \\ $$$${area}\:{of}\:{egg}=\frac{\pi\left(\mathrm{2}−\sqrt{\mathrm{2}}\right)^{\mathrm{2}} }{\mathrm{4}}+\mathrm{2}×\frac{\pi×\mathrm{2}^{\mathrm{2}} }{\mathrm{8}}+\frac{\pi×\mathrm{1}^{\mathrm{2}} }{\mathrm{2}}−\frac{\mathrm{2}×\mathrm{1}}{\mathrm{2}} \\ $$$$=\left(\mathrm{3}−\sqrt{\mathrm{2}}\right)\pi−\mathrm{1} \\ $$