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📰 Solution: The area of a circular sector is \( A = \frac{\theta}{360} \pi r^2 \). Original area: \( \frac{90}{360} \pi (12)^2 = 36\pi \). New radius: \( 12 + 4 = 16 \) meters. New area: \( \frac{90}{360} \pi (16)^2 = 64\pi \). The increase is \( 64\pi - 36\pi = 28\pi \). \boxed{28\pi} 📰 Question: A glaciologist models a glacier's movement using a right triangle with legs measuring 15 km and 20 km. If the shorter leg is increased by 5 km, by how many square kilometers does the area increase? 📰 Solution: Original area: \( \frac{1}{2} \times 15 \times 20 = 150 \) km². New shorter leg: \( 15 + 5 = 20 \) km. New area: \( \frac{1}{2} \times 20 \times 20 = 200 \) km². The increase is \( 200 - 150 = 50 \) km². \boxed{50} 📰 Detox With Lemon And Water 7454627 📰 4T 1 T 3 T 8 1 3 4T T T 6 6T 0 3673028 📰 The Shocking Step By Step Guide To Reinstall Windows On A Second Drive 6330530 📰 Best Games On Macos 3172397 📰 When Do The Seahawks Play 579384 📰 Discover The 1 Best Iptv Iphone App That Unlocks Eating Broadband Channels Tonight 7206335 📰 Video Visits 6291790 📰 Define Correlation 3157224 📰 Substitute The Expressions For Length And Width 2777386 📰 Dow Jones Numbers 3358498 📰 Unlock Your June 29 Zodiac Identity Its Shaping Your Destiny Like Never Before 2302867 📰 Survive Until Dawn 1544674 📰 Long John Silvers Hidden Feast The Forbidden Viands You Didnt Know Existed 9184684 📰 Toys To Reduce Stress 1313076 📰 Fnaf Security Breach Dlc 3585532