ESTIMASI NILAI π BERBASIS PENDEKATAN GEOMETRI DENGAN MENGHITUNG LUAS DAN KELILING POLIGON BERATURAN
Abstract
Penelitian ini bertujuan untuk menawarkan perspektif baru dalam eksplorasi nilai konstanta matematika melalui studi analitis estimasi nilainya. Pendekatan yang digunakan adalah perhitungan luas dan keliling poligon beraturan yang didasarkan pada rumus luas segitiga dan aturan kosinus. Nilai yang diperoleh dari perhitungan poligon dibandingkan dengan nilai yang umum dikenal hingga delapan digit desimal (3,14159265). Hasil penelitian menunjukkan bahwa meskipun jari-jari lingkaran divariasikan, nilai konstanta yang dihasilkan dari perhitungan luas poligon bersegi 71094 identik dengan nilai hingga delapan digit desimal. Sementara itu, perhitungan keliling poligon bersegi 25406 juga menghasilkan nilai konstanta yang identik dengan nilai hingga delapan digit desimal (3,14159265). Namun, untuk perhitungan keliling poligon bersisi 71094 menghasilkan nilai konstanta dengan perbedaan satu digit desimal terakhir (3,14159266). Studi ini memberikan wawasan mengenai konvergensi nilai melalui pendekatan geometris poligon beraturan.
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