Question Number 5341 by FilupSmith last updated on 09/May/16
$$\mathrm{Three}\:\mathrm{circles}\:\mathrm{with}\:\mathrm{radius}\:{r} \\ $$$$\mathrm{The}\:\mathrm{circles}\:\mathrm{have}\:\mathrm{equations}: \\ $$$${c}_{\mathrm{1}} :\:\:\:\:\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} ={r}^{\mathrm{2}} \\ $$$${c}_{\mathrm{2}} :\:\:\:\:\:\left({x}−{r}\right)^{\mathrm{2}} +{y}^{\mathrm{2}} ={r}^{\mathrm{2}} \\ $$$${c}_{\mathrm{3}} :\:\:\:\:\:{x}^{\mathrm{2}} +\left({y}−{r}\right)^{\mathrm{2}} ={r}^{\mathrm{2}} \\ $$$$ \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{Areas}\:\mathrm{of}: \\ $$$$\mathrm{1}.\:\:\:\:\:\mathrm{Enclosed}\:\mathrm{area}\:{ABC} \\ $$$$\mathrm{2}.\:\:\:\:\:\mathrm{Enclosed}\:\mathrm{area}\:{ACD} \\ $$
Commented by FilupSmith last updated on 09/May/16
Commented by Rasheed Soomro last updated on 14/May/16
$$\mathrm{Similar}\:\mathrm{questions}\:\:\mathrm{of}\:\mathrm{mine}\:\mathrm{were}\:\mathrm{answered} \\ $$$$\mathrm{by}\:\mathrm{prakash}\:\mathrm{jain}\:\mathrm{and}\:\mathrm{Yozzi}\:\mathrm{sometime}\:\mathrm{ago}. \\ $$$$\mathrm{You}\:\mathrm{can}\:\mathrm{find}\:\mathrm{out}\:\mathrm{in}\:\mathrm{earlier}\:\mathrm{questions}. \\ $$$$\mathrm{Q}#\mathrm{3877}\:\&\:\mathrm{Q}#\mathrm{3943} \\ $$