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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: 📰 Kikoff Review Players Go Wildthis Tech Is Changing Everything 8283190 📰 Her Scream Froze Time In A Cult Classic Waiting To Shock Every Viewer 3896188 📰 Queen Size Murphy Bed 4414496 📰 Word Meister 1191 📰 Youll Never Let Go Of Clipandothe Tool Turning Chaos Into Perfect Clips 5485173 📰 Unlock Every Pregnancy Category From Traditional To Trendy Weve Listed Them All 4784005 📰 Credit Card Zero Interest Balance Transfer 7860816 📰 Can I Use An Atm With Just My Card Number 6151231 📰 Childrens Ipad Tablet 1937466 📰 Gundam Assemble Tallgeese Revealedwhy This Mecha Rule Every Anime Fans Heart 1465876 📰 Complete Guide To Downloading Windows 11 23H2 Iso 106100 📰 Sdc Adult Release Shocking Truthswatch Before Its Gone Forever 8695100 📰 You Wont Believe Whats Breaking Quantum Error Correction In 2024 2737134 📰 Predation Definition 335457 📰 457B Retirement The Secret Strategy That Could Change Your Future Today 561801