Menu Close

Three-circles-with-radius-r-The-circles-have-equations-c-1-x-2-y-2-r-2-c-2-x-r-2-y-2-r-2-c-3-x-2-y-r-2-r-2-Find-the-Areas-of-1-Enclosed-area-ABC-2-Enclosed-




Question Number 5341 by FilupSmith last updated on 09/May/16
Three circles with radius r  The circles have equations:  c_1 :     x^2 +y^2 =r^2   c_2 :     (x−r)^2 +y^2 =r^2   c_3 :     x^2 +(y−r)^2 =r^2     Find the Areas of:  1.     Enclosed area ABC  2.     Enclosed area ACD
$$\mathrm{Three}\:\mathrm{circles}\:\mathrm{with}\:\mathrm{radius}\:{r} \\ $$$$\mathrm{The}\:\mathrm{circles}\:\mathrm{have}\:\mathrm{equations}: \\ $$$${c}_{\mathrm{1}} :\:\:\:\:\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} ={r}^{\mathrm{2}} \\ $$$${c}_{\mathrm{2}} :\:\:\:\:\:\left({x}−{r}\right)^{\mathrm{2}} +{y}^{\mathrm{2}} ={r}^{\mathrm{2}} \\ $$$${c}_{\mathrm{3}} :\:\:\:\:\:{x}^{\mathrm{2}} +\left({y}−{r}\right)^{\mathrm{2}} ={r}^{\mathrm{2}} \\ $$$$ \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{Areas}\:\mathrm{of}: \\ $$$$\mathrm{1}.\:\:\:\:\:\mathrm{Enclosed}\:\mathrm{area}\:{ABC} \\ $$$$\mathrm{2}.\:\:\:\:\:\mathrm{Enclosed}\:\mathrm{area}\:{ACD} \\ $$
Commented by FilupSmith last updated on 09/May/16
Commented by Rasheed Soomro last updated on 14/May/16
Similar questions  of mine were answered  by prakash jain and Yozzi sometime ago.  You can find out in earlier questions.  Q#3877 & Q#3943
$$\mathrm{Similar}\:\mathrm{questions}\:\:\mathrm{of}\:\mathrm{mine}\:\mathrm{were}\:\mathrm{answered} \\ $$$$\mathrm{by}\:\mathrm{prakash}\:\mathrm{jain}\:\mathrm{and}\:\mathrm{Yozzi}\:\mathrm{sometime}\:\mathrm{ago}. \\ $$$$\mathrm{You}\:\mathrm{can}\:\mathrm{find}\:\mathrm{out}\:\mathrm{in}\:\mathrm{earlier}\:\mathrm{questions}. \\ $$$$\mathrm{Q}#\mathrm{3877}\:\&\:\mathrm{Q}#\mathrm{3943} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *