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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. 📰 Halal Boyz 5505494 📰 Sonny And Angels Secret Smash That Broke Everyones Heart 6761525 📰 From Van Halen Stardom To Billionaires Steve Perrys Worth Stuns Fans Worldwide 7225243 📰 Whatsapp App Download Mac 8963191 📰 How Your Name Defines Your Lovetake The Name Love Test Transform Your Self Worth Now 2008320 📰 Step Up 3 Like Never Beforeyou Wont Believe What Change Looks Like 8368583 📰 11Question A Satellites Altitude In Kilometers Is Modeled By The Cubic Polynomial Ht Such That H1 10 H2 20 H3 14 And H4 12 Find H5 951107 📰 Leek Factory Tycoon Shock The Untamed Story Behind The Ultimate Veggie Mogul 7063488 📰 Love Tester Game This Honest Quiz Found My Soulmateour Story Will Blow Your Mind 7867273 📰 You Wont Believe What Happens At Hajimete No Galthe Hidden Secrets That Shock 980483 📰 Despite Backlashjesus Tattoos Are Going Viral These Designs Will Blow Your Mind 9373728 📰 This Mysterious Secret From Rose Wilson Will Change Everything You Thought About Her Life 9207637 📰 Primary Colors And Secondary Colors 8227160 📰 Xle Stock Shock This Hidden Giant Is About To Surge Over 100 Experts Weigh In 4960027 📰 1823 Show 3207686