Best Outdoor Wireless Surveillance Cameras - IQnection

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📰 Solution: The circle’s diameter equals the square’s side, so radius $ r = \frac{s}{2} $. Circle area: $ \pi \left(\frac{s}{2}\right)^2 = \frac{\pi s^2}{4} $. Square area: $ s^2 $. Ratio: $ \frac{\frac{\pi s^2}{4}}{s^2} = \frac{\pi}{4} $. The ratio is $ \boxed{\dfrac{\pi}{4}} $. 📰 Question: An equilateral triangle’s side is reduced by 3 cm, decreasing its area by $ 15\sqrt{3} \, \text{cm}^2 $. What was the original side length? 📰 Solution: Let original side be $ s $. Original area: $ \frac{\sqrt{3}}{4} s^2 $. New side $ s - 3 $, new area: $ \frac{\sqrt{3}}{4} (s - 3)^2 $. The difference: $ \frac{\sqrt{3}}{4} [s^2 - (s - 3)^2] = 15\sqrt{3} $. Simplify: $ \frac{\sqrt{3}}{4} (6s - 9) = 15\sqrt{3} $. Cancel $ \sqrt{3} $ and solve $ \frac{6s - 9}{4} = 15 $, leading to $ 6s - 9 = 60 $, so $ s = \frac{69}{6} = 11.5 $. Original side length is $ \boxed{11.5} \, \text{cm} $. 📰 Merchant Marine Academy 4582127 📰 Museums St Pete 5160960 📰 Basis Cedar Park 9135612 📰 The Sweat Set That No Fitness Expert Wants You To Ownor Why Its Unbreakable 4972897 📰 Work On A Film Cruise Ship 1132792 📰 Calculate Each Product 3627734 📰 Sao Paulo 5 3727037 📰 The Wait Ends Nowseason 3 Breaks Through If You Wait Long Enough 5014554 📰 Create Like A Pro In Minutesthis Sketch Pad Is The Secret Weapon You Need 4740475 📰 Online Games With No Ads 6710516 📰 Nixtaco Folsom 5596401 📰 Line Without A Hook Lyrics 8161230 📰 You Wont Believe Whats Coming In The New Black Clover Seasonthis Will Shock You 3293314 📰 Discover Mapgenie The Ultimate Tool That Boosts Your Map Creation Game 2503239 📰 Gtx 750 Drivers 652717