[{"question":"Ak\u00fd je vzorec pre v\u00fdpo\u010det d\u013a\u017eky obl\u00faka kru\u017enice?","answers":["a = 2\u03c0r\u03b1\/ 360\u00b0","S =\u03c0r2<\/sup>\u03b1\/360","neexistuje","a = 2\u03c0\u03b1\/ 360\u00b0"],"correct":"a = 2\u03c0r\u03b1\/ 360\u00b0","order":"1"},{"question":"Ak\u00fd je vzorec pre v\u00fdpo\u010det obsahu kruhov\u00e9ho v\u00fdseku?","answers":["a = 2\u03c0r\u03b1\/ 360\u00b0","S =\u03c0r2<\/sup>\u03b1\/361","neexistuje","a = 2\u03c0\u03b1\/ 360\u00b0"],"correct":"S =\u03c0r2<\/sup>\u03b1\/361","order":"2"},{"question":"Ak\u00fd je vzorec pre v\u00fdpo\u010det obsahu obl\u00faka kru\u017enice?","answers":["a = 2\u03c0r\u03b1\/ 360\u00b0","S =\u03c0r2<\/sup>\u03b1\/362","neexistuje","a = 2\u03c0\u03b1\/ 360\u00b0"],"correct":"neexistuje","order":"3"},{"question":"Vypo\u010d\u00edtajte d\u013a\u017eku kru\u017enicov\u00e9ho obl\u00faka, ak r je polomer kru\u017enice a \u03b1 je stredov\u00fd uhol patriaci kru\u017enicov\u00e9mu obl\u00faku r = 20 mm, \u03b1 = 45\u00b0","answers":["15 mm","17mm","17,5 mm","15,7 mm"],"correct":"15,7 mm","order":"4"},{"question":"Ak\u00e1 je obsah kruhov\u00e9ho v\u00fdseku s polomerom 295cm, ktor\u00fd prisl\u00facha stredov\u00e9mu uhlu 187\u00b0?","answers":["14 014,6 cm2<\/sup>","14 214,6 cm2<\/sup>","1 414,6 cm2<\/sup>","142 014,6 cm2<\/sup>"],"correct":"1 414,6 cm2<\/sup>","order":"5"},{"question":"Ak\u00e1 je d\u013a\u017eka obl\u00faka kru\u017enice k (S, 23 dm), ktor\u00fd prisl\u00facha stredov\u00e9mu uhlu 155\u00b0?","answers":["63,19 dm","2,19 dm","61,9 dm","62,19 dm"],"correct":"62,19 dm","order":"6"},{"question":"Vej\u00e1r m\u00e1 tvar kruhov\u00e9ho v\u00fdseku polomeru 24 cm so stredov\u00fdm uhlom 160\u00b0. Ak\u00fd je obsah vej\u00e1ra?","answers":["803,84 cm2<\/sup>","803cm2<\/sup>","903,84 cm2<\/sup>","903 cm2<\/sup>"],"correct":"803,84 cm2<\/sup>","order":"7"},{"question":"Dva priame \u00faseky cesty, ktor\u00fdch smery zvieraj\u00fa uhol ve\u013ekosti 152\u00b0 maj\u00fa by\u0165 spojen\u00e9 kruhov\u00fdm obl\u00fakom s polomerom 76 m. Ak\u00fa d\u013a\u017eku m\u00e1 tento kruhov\u00fd obl\u00fak?","answers":["72547,2 m","201,52 m","477,3 m","36 273,6 m"],"correct":"201,52 m","order":"8"},{"question":"Ak\u00e1 je d\u013a\u017eka obl\u00faka kru\u017enice s polomerom 295 cm, ktor\u00fd prisl\u00facha stredov\u00e9mu uhlu 187\u00b0?","answers":["962,8 cm","962 cm","692,8 cm","968,2 cm"],"correct":"962,8 cm","order":"9"},{"question":"Ve\u013ek\u00e1 ru\u010di\u010dka na hodin\u00e1ch je 12 cm dlh\u00e1. Ak\u00fa dr\u00e1hu op\u00ed\u0161e hrot ru\u010di\u010dky za 5 min\u00fat?","answers":["3,14 cm","6,28 cm","31,4 cm","62,8 cm"],"correct":"6,28 cm","order":"10"}]