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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: 📰 Courtyard By Marriott Philadelphia City Avenue 9835809 📰 Seven Of Nine Explodes In Voyagerheres The Mind Blowing Backstory 7011545 📰 A Rectangle Has A Length That Is Twice Its Width If The Perimeter Of The Rectangle Is 36 Meters What Is The Area Of The Rectangle 1520107 📰 Nissan Logo 609830 📰 Dodo Meaning Slang 9256699 📰 You Wont Guess How This Madrigas Costume Mountains Selfie Perfection 8987887 📰 Nj Jobs 4180686 📰 All Devil Fruits List 9598157 📰 Best Commercial Ice Machine 4153755 📰 Mike Colter Must Watch Movies Tv Shows You Cant Miss In 2024 2590632 📰 From Teens To Adults The Surprising Truth Behind Njs Age Of Consent Law In 2024 2154858 📰 Line Of Wallace 3667788 📰 5 Stop Scrollingaku Samurai Jacks Unbelievable Journey Just Broke The Internet Forever 9153929 📰 Clov Alert Secrets Behind This Hot Trend You Wont Believe 7248063 📰 The Unexpected Truth About A That Everyone Refuse To Mention 213902