[{"data":1,"prerenderedAt":115},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Ftrigonometria\u002Flongitud-de-arco-y-sector-circular?{}":3,"topics-with-content:trigonometria":101},{"course":4,"topic":12,"counts":17,"universities":22,"channels":34,"sampleQuestions":57,"sameName":100},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},4,"trigonometria","Trigonometría","Trig.","math","i-lucide-radius",3,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},402,"longitud-de-arco-y-sector-circular","Longitud de arco y sector circular",1,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},11,73,61,2054,[23,32],{"universityId":24,"questions":25,"years":26},2,8,[27,28,29,30,31],2026,2025,2024,2023,2022,{"universityId":16,"questions":11,"years":33},[27,28,29],[35,38,41,44,47,49,51,53,55],{"name":36,"classes":37},"Alberto Cruz",24,{"name":39,"classes":40},"Ciclo Uni-San Marcos",22,{"name":42,"classes":43},"Academia ipluton",9,{"name":45,"classes":46},"Academia Grupo Ciencias",7,{"name":48,"classes":5},"CEPRE UNMSM",{"name":50,"classes":11},"Salón Sapiens",{"name":52,"classes":24},"Academias Aduni y César Vallejo",{"name":54,"classes":16},"Academia_Pitagoras",{"name":56,"classes":16},"Trilce Multimedia",[58,83],{"id":59,"courseId":5,"topicId":13,"pastExamId":60,"stem":61,"options":62,"correctKey":70,"explanation":78,"difficulty":24,"status":79,"source":80,"stats":81},1485,195,"En un trapecio circular, los arcos que lo limitan miden $x$ e $y$ (en cm), con $x>y$. Si el área (en cm²) de su región correspondiente es\n$\\dfrac{x^{2}-y^{2}}{2}$\ncalcule la medida del ángulo central (en radianes) del sector circular al que pertenece.",[63,66,69,72,75],{"key":64,"text":65},"A","1\u002F4",{"key":67,"text":68},"B","1\u002F2",{"key":70,"text":71},"C","1",{"key":73,"text":74},"D","3\u002F2",{"key":76,"text":77},"E","2","","published","UNI 2025-2 · Matemática",{"attempts":82,"accuracy":82},0,{"id":84,"courseId":5,"topicId":13,"pastExamId":85,"stem":86,"options":87,"correctKey":73,"explanation":78,"difficulty":24,"status":79,"source":98,"stats":99},4553,240,"Un agricultor desea cercar su terreno, que tiene forma de sector circular con 32 m$^{2}$ de área. Si el ángulo central del terreno mide 1 radián, ¿cuántos metros lineales de cerca requiere, como mínimo, para la delimitación?",[88,90,92,94,96],{"key":64,"text":89},"33",{"key":67,"text":91},"27",{"key":70,"text":93},"30",{"key":73,"text":95},"24",{"key":76,"text":97},"18","UNMSM 2025-II · Área D · Ciencias Económicas y de la Gestión",{"attempts":82,"accuracy":82},[],[102,13,103,104,105,106,107,108,109,110,111,112,113,114],401,403,404,405,406,407,408,409,410,411,412,413,414,1791501527475]