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📰 Pregunta: Un modelo climático utiliza un patrón hexagonal de celdas para estudiar variaciones regionales de temperatura. Cada celda es un hexágono regular con longitud de lado $ s $. Si la densidad de datos depende del área de la celda, ¿cuál es la relación entre el área de un hexágono regular y el área de un círculo inscrito de radio $ r $? 📰 A) $ \frac{2\sqrt{3}}{3} \cdot \frac{r^2}{\text{Area}} = 1 $ → Area ratios: $ \frac{2\sqrt{3} s^2}{6\sqrt{3} r^2} = \frac{s^2}{3r^2} $, and since $ s = \sqrt{3}r $, this becomes $ \frac{3r^2}{3r^2} = 1 $? Corrección: Pentatexto A) $ \frac{2\sqrt{3}}{3} \cdot \frac{r^2}{\text{Area}} $ — but correct derivation: Area of hexagon = $ \frac{3\sqrt{3}}{2} s^2 $, inscribed circle radius $ r = \frac{\sqrt{3}}{2}s \Rightarrow s = \frac{2r}{\sqrt{3}} $. Then Area $ = \frac{3\sqrt{3}}{2} \cdot \frac{4r^2}{3} = 2\sqrt{3} r^2 $. Circle area: $ \pi r^2 $. Ratio: $ \frac{\pi r^2}{2\sqrt{3} r^2} = \frac{\pi}{2\sqrt{3}} $. But question asks for "ratio of area of circle to hexagon" or vice? Question says: area of circle over area of hexagon → $ \frac{\pi r^2}{2\sqrt{3} r^2} = \frac{\pi}{2\sqrt{3}} $. But none match. Recheck options. Actually, $ s = \frac{2r}{\sqrt{3}} $, so $ s^2 = \frac{4r^2}{3} $. Hexagon area: $ \frac{3\sqrt{3}}{2} \cdot \frac{4r^2}{3} = 2\sqrt{3} r^2 $. So $ \frac{\pi r^2}{2\sqrt{3} r^2} = \frac{\pi}{2\sqrt{3}} $. Approx: $ \frac{3.14}{3.464} \approx 0.907 $. None of options match. Adjust: Perhaps question should have option: $ \frac{\pi}{2\sqrt{3}} $, but since not, revise model. Instead—correct, more accurate: After calculation, the ratio is $ \frac{\pi}{2\sqrt{3}} $, but among given: 📰 A) $ \frac{\pi}{2\sqrt{3}} $ — yes, if interpreted correctly. 📰 Find The Hidden Phoenix Darksecrets Behind Its Unmatched Dark Magic Revealed 3905598 📰 Batman Fights Back Assault On Arkham Reveals The Darkest Fears Of Gothams Anarchy 8494593 📰 This Simple Hack Will Connect The Words You Needwatch The Transformation Instantly 5558571 📰 Charlie Charlie Parker 4477879 📰 How To Get Rid Of Error 17 Pokemon Center 4126416 📰 Adam Warlock Exposed The Ancient Rituals That Make Him Unstoppable Dont Miss This 7824020 📰 Spawn Villain 476958 📰 St Pete This Weekend 3954251 📰 The Hidden Way Forward No One Else Tells Youjust Follow Me 5312811 📰 Bankofmaerica 8311986 📰 Paulas Pancake House Solvang 592892 📰 Sonic 2 Secrets Youve Been Trying To Crack Since 1992Mind Blown 5204064 📰 Step It Up Three 5556167 📰 Verizon In Kendall 9539785 📰 Translate From English To Holland 6319259