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📰 Thus, the ratio is \(\boxed{\frac{2\pi ab}{(a + b + c)^2}}\). 📰 A museum curator wants to create a digital display showing a model of an ancient equilateral triangle with side length \( s \). The model includes an inscribed circle. Determine the ratio of the area of the model triangle to the area of the inscribed circle. 📰 The area \( A \) of an equilateral triangle with side length \( s \) is given by \( A = \frac{\sqrt{3}}{4} s^2 \). The radius \( r \) of the inscribed circle in an equilateral triangle is \( r = \frac{s\sqrt{3}}{6} \). The area of the circle is \( \pi r^2 = \pi \left(\frac{s\sqrt{3}}{6}\right)^2 = \frac{\pi s^2 \cdot 3}{36} = \frac{\pi s^2}{12} \). The ratio of the area of the triangle to the area of the inscribed circle is: 📰 Grow A Garden Pet Teir List 6661567 📰 Mpower Financing 3466515 📰 Express Tribune Exposed The Big Story No One Wanting To Ignoreheres What You Missed 6397114 📰 Stop Forgetting Pills Forevermedisafe Increases Meds Adherence Instantly 7099426 📰 Watch Rush 2013 2976711 📰 Types Of Shaped 869509 📰 You Wont Believe What You Can Still Do With Microsoft Powerpoint 2013 6498869 📰 Unbelievable Flavor Fusion Pizza Burger Could Change Your Night 9190212 📰 Google Chrome Internet Browser Download 4624522 📰 Best Day To Purchase Airline Tickets 298489 📰 Hampton Inn Manhattan Downtown Financial District New York Ny 8906659 📰 Drama Inside The Department Of Health And Human Services Breaking Secrets No One Wants You To Know 299406 📰 Takachiho Gorges Secret Beauty In Kyushu A Photo Spots Compilation Like No Other 3352179 📰 Microsoft 365 Business Standard Is Your Company Getting The Hemisphere Of Work Tools 272857 📰 The Final Chapters Jc Penneys Deadly Closures Sweep Across America 3401262