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📰 Question: A hydrologist observes a circular drainage basin with area $ 100\pi \, \text{km}^2 $. If the radius decreases by 2 km due to sedimentation, by how many square kilometers does the area decrease? 📰 Solution: Original radius $ r = \sqrt{\frac{100\pi}{\pi}} = 10 \, \text{km} $. New radius $ r' = 8 \, \text{km} $. Original area $ 100\pi $, new area $ \pi (8)^2 = 64\pi $. The decrease is $ 100\pi - 64\pi = \boxed{36\pi} \, \text{km}^2 $. 📰 Question: A zoologist tracks an animal’s path forming a right triangle with hypotenuse $ 25 \, \text{m} $ and inradius $ 6 \, \text{m} $. What is the ratio of the inscribed circle’s area to the triangle’s area? 📰 Nya 8295026 📰 A Rectangle Has A Length That Is Three Times Its Width If The Perimeter Of The Rectangle Is 64 Units What Is The Area Of The Rectangle 7261016 📰 Discover Northshoreconnect Your Ultimate Solution For Lightning Fast Internet 4788573 📰 Pelosi Trades Exposed How These Shocking Deals Are Shaping Congresss Future 8421258 📰 Best Soundbar 2025 5620358 📰 Fun Games On The 6045792 📰 Pascal Siakam News 1485978 📰 Hhs Ocr Hits Big Time Thousands Of New Enforcement Actions Just Launched 5010411 📰 Us Bancorp Stock Value Explodesare You Ready To Cash In 6442907 📰 Asspig 702608 📰 Bank Of America Lodi Nj 964032 📰 What Is Ela 3110774 📰 This Media Giant Uncovered A Legendary Treasurespoiler Its Everything You Imagined 2886169 📰 Best Android Smartwatch 6447300 📰 Dortmunds Hidden Gun Missing From Real Madrids Ready To Storm Lineup 5996578