<prompt> Kwenye mchoro, ni eneo gani la poligoni PQRST? asykuagiza olympiad;ukubwa 6 cm; REKEBISHAjozi p 0, 6;jozi q 3, 6;jozi r 3, 3;jozi t 0, 0;jozi s 7, 0;kuchorap--q--r--s--t--mzunguko;leboP, p, NW;leboQ, q, NE;leboR, r, E NE;leboS, s, SE;leboT, t, SW;lebo6, p 2, W;lebo3, p q - p 2, 2 N;lebo7, s 2, S;choraalama ya kuliap, t, s;choraalama ya kuliat, p,q;chora alama ya kulia p, q, r;addpathticksp--q, s6;addpathticksq--r, s6;asy  <response>: Tunaongeza QR ili kufikia TS kwa X. asykuagiza olympiad;ukubwa 6 cm; REKEBISHAjozi p 0, 6;jozi q 3, 6;jozi r 3, 3;jozi t 0, 0;jozi s 7, 0;jozi x 3, 0;kuchorap--q--r--s--t--mzunguko;chorar--x;leboP, p, NW;leboQ, q, NE;leboR, r, E NE;leboS, s, SE;leboT, t, SW;leboX, x, S;lebo6, p 2, W;lebo3, p q - p 2, 2 N;lebo3, x r - x 2, W;lebo4, x s - x 2, S;lebo3, x 2, S;lebo3, r q - r 2, 2 E;choraalama ya kuliap, t, s;choraalama ya kuliat, p,q;chora alama ya kulia p, q, r;addpathticksp--q, s6;addpathticksq--r, s6;asy Tangu PQQR, kisha QR3.Kwa kuwa PQXT ina pembe tatu za kulia, lazima iwe mstatili, hivyo TXPQ3. Pia, QXPT6.Kwa kuwa TS7 na TX3, basi XSTS-TX7-34.Kwa kuwa QX6 na QR3, basi RXQX-QR6-33.Kwa kuwa PQXT ni mstatili, basi angle RXS90circ.Nadharia ya Pythagorean katika pembetatu RXS, RS2 RX2 XS2 32 42 91625 hivyo RS5, tangu RS 0.Kwa hiyo, mzunguko ni PQQRRSSTTP3357624. 