<prompt> Katika takwimu, uhakika O ni katikati ya mduara, kipimo cha angle RTB ni digrii 28, na kipimo cha angle ROB ni mara tatu ya kipimo cha angle SOT . Ni kipimo gani cha arc ndogo RS, kwa digrii? asyukubwa wa kitengo 1.2cm;defaultpenlinewidth.7ptfontsize8pt;dotfactor3;jozi A0,0, B-1,0, T2,0;jozi T0T10dir162;jozi RSintersectionpointsMduaraA,1,T--T0;jozi SpRS0;jozi RRS1;jozi nuktaA,B,T,Sp,R;nukta dots;choraMduaraA,1;kuchoraB--T--R;leboT,T,S;leboO,A,S;leboB,B,W;leboR,R,NW;leboS,Sp,NE;asy  <response>: Acha C iwe mahali ambapo sehemu ya mstari overlineOT inakatiza mduara.asyukubwa wa kitengo 1.2cm;defaultpenlinewidth.7ptfontsize8pt;dotfactor3;jozi A0,0, B-1,0, T2,0, C1,0;jozi T0T10dir162;jozi RSintersectionpointsMduaraA,1,T--T0;jozi SpRS0;jozi RRS1;jozi nuktaA,B,T,Sp,R,C;nukta dots;choraMduaraA,1;kuchoraB--T--R;leboT,T,S;leboO,A,S;leboB,B,W;leboR,R,NW;leboS,Sp,NE;leboC,C,SE;asyKwa kuwa angle ROB 3angle SOT 3angle SOC, kipimo cha arc RB ni mara tatu ya kipimo cha arc SC. Pia tunayo angle RTB fracwidehatRB - widehatSC2. Kuruhusu kipimo cha widehatSC kuwa x, tuna pembe RTB 3x-x2 x, hivyo x 28circ. Kwa hiyo, tuna widehatRB 3x 84circ na widehatSC28circ. Kwa kuwa widehatBC ni nusu duara, tuna widehatRS 180circ - widehatRB -widehatSC 180circ - 84circ - 28 circ 68circ. 