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📰 Respuesta correcta: B) $ 700 $ segundos 📰 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: 📰 What Are The Odds Of Winning The Lotto Shocking Numbers You Need To Know Before Playing 5269411 📰 The Ultimate Guide To Stunning Medium Long Hairstyles For Men Everyones Asking About These Styles 2611593 📰 Justice League Casting Revealed Which Iconic Heroes Caught Everyone Off Guard 1669651 📰 Honda Orland Park Il 7079493 📰 Jj Wallpaper That Steals Screenshots Heartsdownload Before Its Gone 588625 📰 Microsoft Office 365 Sale Alert Stock Up With This Massive Discount Code Now 4291821 📰 Nutritional Value Of Eggs 7923662 📰 Newt Maze Runner Actor 6039492 📰 This Line Rider Game Goes Beyond Coolwatch How Players Are Obsessed 1207182 📰 Watch Price Movements Explode Master The Amazon Option Chain Today 2479589 📰 That Microsoft Account Doesnt Exist 6411514 📰 Step Into Luxury Shop The Most Stunning 14Kt Gold Necklaces Now 868985 📰 How Mrv Baseball Took Over Sports Gaming In Unstoppable Style 3109671 📰 You Wont Believe How Soft These Ugg Earmuffs Are Sleep Through Anything 2260521 📰 Master Oracle Dba The Ultimate Job Guide To Land Your Dream Database Role 7222492