[{"data":1,"prerenderedAt":124},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Fgeometria\u002Fpoligonos?{}":3,"topics-with-content:geometria":109},{"course":4,"topic":12,"counts":17,"universities":22,"channels":35,"sampleQuestions":66,"sameName":108},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},3,"geometria","Geometría","Geom.","math","i-lucide-triangle",2,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},305,"poligonos","Polígonos",4,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},13,96,72,1081,[23,30],{"universityId":11,"questions":24,"years":25},7,[26,27,28,29],2025,2024,2023,2022,{"universityId":31,"questions":32,"years":33},1,6,[34,26,28,29],2026,[36,39,42,45,48,50,52,54,56,58,60,62,64],{"name":37,"classes":38},"Academia ipluton",25,{"name":40,"classes":41},"Alberto Cruz",20,{"name":43,"classes":44},"Ciclo Uni-San Marcos",16,{"name":46,"classes":47},"Academia Grupo Ciencias",14,{"name":49,"classes":16},"Academias Aduni y César Vallejo",{"name":51,"classes":16},"Salón Sapiens",{"name":53,"classes":5},"Saco Oliveros",{"name":55,"classes":5},"Trilce Multimedia",{"name":57,"classes":11},"Academia Internet",{"name":59,"classes":11},"Pamer Corporación Educativa",{"name":61,"classes":31},"Academia_Pitagoras",{"name":63,"classes":31},"CEPRE UNMSM",{"name":65,"classes":31},"META VILLARREAL",[67,92],{"id":68,"courseId":5,"topicId":13,"pastExamId":69,"stem":70,"options":71,"correctKey":76,"explanation":87,"difficulty":5,"status":88,"source":89,"stats":90},1295,192,"En un polígono regular, las longitudes de los radios de las circunferencias circunscrita e inscrita son $R$ y $r$, respectivamente, tal que $R=\\dfrac{2}{\\sqrt{3}}r$. Calcule el número de diagonales de dicho polígono.",[72,75,78,81,84],{"key":73,"text":74},"A","5",{"key":76,"text":77},"B","9",{"key":79,"text":80},"C","14",{"key":82,"text":83},"D","20",{"key":85,"text":86},"E","27","","published","UNI 2025-1 · Matemática",{"attempts":91,"accuracy":91},0,{"id":93,"courseId":5,"topicId":13,"pastExamId":94,"stem":95,"options":96,"correctKey":82,"explanation":87,"difficulty":5,"status":88,"source":106,"stats":107},1115,189,"En un polígono convexo de n lados, se disminuye en 3 al número de lados, obteniéndose (n+3) diagonales menos, calcule el valor de n.",[97,99,101,102,104],{"key":73,"text":98},"3",{"key":76,"text":100},"4",{"key":79,"text":74},{"key":82,"text":103},"6",{"key":85,"text":105},"8","UNI 2024-2 · Matemática",{"attempts":91,"accuracy":91},[],[110,111,112,113,13,114,115,116,117,118,119,120,121,122,123],301,302,303,304,306,307,308,309,310,311,312,313,314,315,1791501527145]