<prompt> Miduara inayozingatia A na B kila moja ina radius 2, kama inavyoonyeshwa. Pointi O ni sehemu ya kati ya overlineAB, na OA2sqrt2. Sehemu OC na OD ni sanjari kwa miduara inayozingatia A na B, mtawalia, na overlineEF ni tanjiti ya kawaida. Eneo la eneo lenye kivuli ECODF ni nini?asyunitsize1cm;jozi A,B,C,D,G,F,O;A-2.8,0; B2.8,0; C-1.4,1.4;D1.4,1.4; G-2.8,2; F2.8,2;O0,0;choraA--B;kuchoraG--F;kuchoraO--C;kuchoraO--D;kujazaO--D--F--G--C--mzunguko,kijivu0.6;choraA---2.8,-2;choraB--2.8,-2;lebo2,-2.8,-1,W;lebo2,2.8,-1,E;nukta A;nukta B;nukta C;nukta D;nukta G;nukta F;nukta O;kujaza-2,1.85..C--G..mzunguko,nyeupe;kujaza2,1.85..D--F..mzunguko,nyeupe;leboA,A,W;leboB,B,E;leboC,C,SW;leboD,D,SE;leboE,G,N;leboF,F,N;leboO,O,S;choraMduaraA,2;choraMduaraB,2;asy  <response>: Mstatili ABFE una eneo AEcdot AB2cdot4sqrt28sqrt2. Pembetatu za kulia ACO na BDO kila moja ina hypotenuse 2sqrt2 na mguu mmoja wa urefu wa 2.asyunitsize1cm;jozi A,B,C,D,G,F,O;A-2.8,0; B2.8,0; C-1.4,1.4;D1.4,1.4; G-2.8,2; F2.8,2;O0,0;choraA--B,upana wa mstari0.8;choraG--F,upana wa mstari0.8;choraO--C,upana wa mstari0.8;choraO--D,upana wa mstari0.8;kujazaO--D--F--G--C--mzunguko,kijivu0.6;nukta A;nukta B;nukta C;nukta D;nukta G;nukta F;nukta O;kujaza-2,1.85..C--G..mzunguko,nyeupe;kujaza2,1.85..D--F..mzunguko,nyeupe;leboA,A,W;leboB,B,E;leboC,C,NE;leboD,D,NW;leboE,G,N;leboF,F,N;leboO,O,S;choraMduaraA,2,upana wa mstari0.8;choraMduaraB,2,upana wa mstari0.8;kuchoraA--G;kuchoraA--C;choraB--F;choraB--D;lebo2,-2.1,0.7,SE;lebo2,2.1,0.7,SW;asyKwa hivyo ni kila isosceles, na kila moja ina eneo 12left22right2. Pembe CAE na DBF kila moja ni 45circ, kwa hivyo sekta CAE na DBF kila moja ina eneo frac18cdot pi cdot 22 fracpi2. Kwa hivyo eneo la eneo lenye kivuli ni 8sqrt2-2cdot 2 -2cdotfracpi28sqrt2-4-pi. 