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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: 📰 Valve Index Base Station 📰 Scott Pilgrim Ex Game 📰 Epic Game Customer Service 📰 Mail On Deck 📰 Alg Stock Blew Up Todaydiscover The Secrets Behind Its Explosive Growth 2360124 📰 Forex Online 📰 What Is H E A L T H 1145091 📰 Avery 5160 Label Template 📰 You Wont Believe How Easy It Is To Change Your Pc Backdroptry This Simple Method Now 4325264 📰 Compact Disc And Cassette Formats Available 823754 📰 Arkham Origins Deadshot 📰 The Truth About Brian From Family Guy This Hidden Talent Will Stop You In Your Tracks 6598377 📰 Steam Final Sentence 📰 Power Book Iii Raising Kanan Episode 8 711685 📰 Why Blackwell Stock Is The Ultimate Play For Speed Bucks Dont Miss Out 1865689