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📰 Solution: For a right triangle with legs $ a $ and $ b $, and hypotenuse $ z $, the inradius is given by $ c = rac{a + b - z}{2} $. The area $ A $ of the triangle is $ rac{1}{2}ab $. The area of the incircle is $ \pi c^2 $. Using the identity $ a^2 + b^2 = z^2 $, and expressing $ a + b $ in terms of $ z $ and $ c $, we find $ a + b = z + 2c $. Also, the semiperimeter $ s = rac{a + b + z}{2} = rac{2z + 2c}{2} = z + c $. The area can also be written as $ A = r \cdot s = c(z + c) $. Therefore, the ratio becomes: 📰 rac{\pi c^2}{A} = rac{\pi c^2}{c(z + c)} = rac{\pi c}{z + c} 📰 Final answer: $ oxed{rac{\pi c}{z + c}} $ 📰 Mr Akinator 5783904 📰 Who Uses Premarket Trading Fidelity Disrupt Your Strategy With Early Access Precision 8520097 📰 Black Labs And Pitbulls United Meet The Gentle Giant Mix That Defies All Expectations 2845478 📰 Correctquestion In Smart Grid Systems What Is The Primary Function Of A Phasor Measurement Unit Pmu 6544023 📰 You Wont Believe Hidden Fidelity Solo 401K Fees That Double Your Costs 9779293 📰 Upper Dublin Library 8248809 📰 Bar Japonais 5842149 📰 Reverse Every Guess The Ultimate Reverb Calculator That Everyones Raving About 4819454 📰 Star Survivor 389584 📰 Camisas Para Hombre 3656088 📰 S Selling Linen Suits For Men Summers Most Elevated Wardrobe Choice 5859423 📰 Surface Pro 3 Review The Ultimate Tablet Pc Thats Taking Over 2024 7828193 📰 Download The Secret Caput Png Logo Templatefree Professional 2967782 📰 Uncover Mandy Patinkins Most Underrated Movies Tv Performances Forever 4143736 📰 Master How To Make A Graph In Excel In Minutesthis Hidden Excel Hack Will Blow Your Bar 854410