Math Problem Statement
Diberikan sebuah lingkaran dengan jari-jari 1 satuan. Jika kita mengambil n+1 titik berbeda pada lingkaran tersebut, buktikan bahwa terdapat setidaknya 2 titik yang jaraknya paling jauh adalah 2sin(π/n).
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Trigonometry
Circle Geometry
Formulas
Jarak antara dua titik pada lingkaran satuan: d = 2 sin(θ/2)
Sudut antara dua titik berurutan pada lingkaran: θ = 2π/n+1
Theorems
Trigonometric Distance Formula on a Unit Circle
Rotational Symmetry of a Circle
Suitable Grade Level
Grade 10-12
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