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📰 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. 📰 But actually, $ \frac{\pi r^2}{2\sqrt{3} r^2} = \frac{\pi}{2\sqrt{3}} $, so A is correct. 📰 Personal Finance App 8936073 📰 Refinancing Home Mortgage Calculator 627813 📰 The Hunger Games Sings With Venomwhere Silence Screams Louder 6550236 📰 This Sydney Health App Is Changing How You Track Fitnessyou Wont Believe The Secrets Inside 5626066 📰 Aliya Secura Exposed The Shocking Truth Behind Her Untold Legacy 6792584 📰 Bob Saget Saget 8992569 📰 Pacific Rim 2 2018 Shocked The Worldhere Are The 5 Explosive Secrets You Must Know 6958245 📰 Fun Games More Discover The Ultimate Gaming Experience You Wont Stop Playing 6272608 📰 Wok And Pan 603535 📰 Never Let Spammers Hit Your Inbox Againblock Emails In Outlook Instantly 830139 📰 Join The Hottest Cooking Game Craze Thats Taking Over 2025 529974 📰 The Untold Story Itzhak Ezrattis Net Worth Jumped To 10Mheres How 8795461 📰 You Wont Believe These Super Addictive Red White Blue Slots That Pay Big Bonuses 1320619 📰 You Wont Believe What Happens When You Hit This Button 1796527 📰 Indiana State Fair 2025 Dates 7671845