Menu Close

Category: Geometry

Question-219720

Question Number 219720 by Spillover last updated on 01/May/25 Answered by mr W last updated on 01/May/25 $$\frac{{R}_{\mathrm{2}} }{{x}}=\frac{{R}_{\mathrm{1}} +{R}_{\mathrm{2}} }{{a}}=\frac{{R}_{\mathrm{2}} +{R}_{\mathrm{3}} }{{b}}={k},\:{say} \\ $$$$\Rightarrow{R}_{\mathrm{2}}…

Question-219723

Question Number 219723 by Spillover last updated on 01/May/25 Answered by mehdee7396 last updated on 03/May/25 $$\:{OB}=\mathrm{4}\Rightarrow{OT}=\mathrm{2}\Rightarrow{r}=\mathrm{3} \\ $$$${BT}=\mathrm{2}\sqrt{\mathrm{3}} \\ $$$${BT}×{AT}={KT}×{TT}' \\ $$$$\mathrm{12}=\mathrm{6}×{TT}'\Rightarrow{TT}'=\mathrm{2}\Rightarrow{r}'=\mathrm{1} \\ $$$${S}=\mathrm{16}\pi−\mathrm{9}\pi−\mathrm{1}\pi=\mathrm{6}\pi…