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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: 📰 Lazr And Yahoo Finance The Unbelievable Secret To Crushing Financial Goalsyou Wont Believe What Worked 5883789 📰 Where To Sell Electronics 58315 📰 Calvin Klein Perfume The Secret House That Turns Every Spray Into A Perfume Revolution 4793155 📰 What Angel Number 666 Really Means Youre About To Discover The Secret 3274536 📰 Wells Fargo Bank Verification Of Deposit 3773617 📰 Bent Tree Golf Club 2324596 📰 The Caf Worthy Tea Set Thats Trendingwhy You Need It On Your Kitchen Counter 2182910 📰 Total Carriers 120 320 120320440440 3284219 📰 Homemade Mozzie Repellent 9245762 📰 Arbor Knot 1354560 📰 Cascade Apartments 5956356 📰 Unlock The Secret To Free Classic Mahjong Play Now Win Big 2012629 📰 How The Bubble In Cryptocurrency Destroyed Thousands Of Investorsshocking Truth 9232804 📰 Deerfields Bakery 5520558 📰 Saudi Arabia Royal Family 1975921