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📰 \boxed{\dfrac{15}{4}} 📰 In a right triangle, the length of one leg is \( a \), the length of the other leg is \( b \), and the length of the hypotenuse is \( c \). If the radius of the inscribed circle is \( r \), find the ratio of the area of the circle to the area of the triangle. 📰 The area of the triangle is given by \( \frac{1}{2}ab \). The semi-perimeter \( s \) of the triangle is \( \frac{a + b + c}{2} \). The radius of the inscribed circle \( r \) can be expressed as \( r = \frac{A}{s} \), where \( A \) is the area of the triangle. Therefore, \( r = \frac{\frac{1}{2}ab}{\frac{a + b + c}{2}} = \frac{ab}{a + b + c} \). The area of the inscribed circle is \( \pi r^2 \). Substituting for \( r \), the area of the circle is \( \pi \left(\frac{ab}{a + b + c}\right)^2 \). The ratio of the area of the circle to the area of the triangle is: 📰 Creeper World 9127526 📰 5S Crazy Gamnes Gone Viral Watch This Mind Blowing Gaming Chaos 1791936 📰 What Is Unified Memory 1000737 📰 Unlock Hidden Returns What Your Tax Equivalent Yield Calculator Reveals Shocking Savings 6754724 📰 Mind Blowing 10 Stocks With Historic Dividend Growthyou Wont Believe Their 20 Year Track Record 2851087 📰 The Dnd Movie That Broke Records This Is Its Unbelievable Story 7372071 📰 4 Shocker Alert Agonist A Stock Surgesheres Why Its The Next Bigthing 8371402 📰 Trickstocksstatic Amazon Stocktwits Is Selling These Surprising Shares Today 878735 📰 Judas The Walking Dead 2793418 📰 Door Casing 8897823 📰 How To Disinfect A Water Cooler 9730575 📰 This Is Why Tcs Share Price Is Spiking In The Wrong Directionfind Out Now 1704837 📰 Wait Here Are Clean Clickbait Seo Friendly Titles Formatted Properly 1122637 📰 Java Se Developer Kit The Essential Tool Every Coder Needs To Level Up In 2024 8277957 📰 Mexican Christmas 8653853