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Lingkaran dalam segi-n

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Diketahui segi-$n$ konveks dengan keliling $S$ memiliki lingkaran dalam $\omega$ berjari-jari $R$. Suatu segi-$n$ beraturan, yang titik-titik sudutnya berada pada $\omega$, memiliki keliling $s$. Periksa apakah ketaksamaan berikut berlaku:

$$S \geq \frac{2snR}{\sqrt{4n^2R^2-s^2}}$$

 

Tes 2 Nomor 2 Pelatnas Tahap 3 IMO 2016

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