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📰 Question: A circle is inscribed in a square with side length $ s $. What is the ratio of the circle’s area to the square’s area, expressed in terms of $ \pi $? 📰 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? 📰 Download These Ringtones For Iphoneyour Friends Will Be Signs Youre Nailed To Their Phone 1070439 📰 Travel Insured International Reviews 9561019 📰 Shocking Facts About Verona Pharmas Greatest Success Yetyou Wont Believe 7 7217188 📰 Surface Pro 2 In 1 9152556 📰 You Wont Believe How Clicker Heroes Changed The Gaming World Forever 5446809 📰 This Simple Method Got Me The Perfect Brown Paint See The Secret Hack 6636112 📰 You Wont Believe How Much Income Comes In 20 Dollars An Hour 2856632 📰 Click Here To Finally Take Control How To Pull Out Your 401K Fastno More Waiting 2482992 📰 Relaxation Synonym 1389985 📰 Adam And Eve The Boys The Secret Couple Everyones Talking About 5011400 📰 Unlock The Ultimate Your Dictionary Pro Tips No One Tells You 9675603 📰 Hydrogenated Credentials 6313976 📰 Slack App Osx 4569310 📰 Abington School District 7696589 📰 Atelier Cancun 6135036