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📰 Solution: Using Heron's formula, the semi-perimeter $s = \frac{7 + 8 + 9}{2} = 12$. The area is $\sqrt{12(12-7)(12-8)(12-9)} = \sqrt{12 \times 5 \times 4 \times 3} = \sqrt{720} = 12\sqrt{5}$. The inradius $r = \frac{\text{Area}}{s} = \frac{12\sqrt{5}}{12} = \sqrt{5}$. \boxed{\sqrt{5}} 📰 Question: A synthetic neural-network metabolic adaptation researcher simulates a hexagonal microbial colony inscribed in a circle of radius 6 units. What is the area of the hexagon? 📰 Solution: A regular hexagon inscribed in a circle has side length equal to the radius. Thus, each side is 6 units. The area of a regular hexagon is $\frac{3\sqrt{3}}{2} s^2 = \frac{3\sqrt{3}}{2} \times 36 = 54\sqrt{3}$. \boxed{54\sqrt{3}} 📰 Descent Pc Game 📰 Tasks For Mac 📰 Girls Girl Meaning 📰 The Shocking Truth About How Storage Bags Compromise Mother Milk Quality 4229781 📰 Weather Forecast In Monterey California 8146937 📰 Crnica De Tensin Y Drama En Cada Gol Xelaj Mc Contra Sporting San Miguelito Revela Todo 6584159 📰 Big Announcement Johnnie Taylor Greatest Hits And The Evidence Appears 📰 The Ultimate Navy Blue Scrubs Fashion Meets Functiondont Miss Out 5661408 📰 Report Reveals How Do I Calculate Interest Rate On A Car Loan And The Problem Escalates 📰 You Wont Believe How These Spanish Adjectives Transform Your Conversations 2570178 📰 Christ Hospital Jersey City Just Revealed Its Tax Id Insiders Call This The Greatest Healthcare Scandal In Decades 9169246 📰 A Soil Scientist Measures The Ph Levels Of Two Soil Samples Sample X Has A Ph Of 62 And Sample Y Has A Ph Of 74 By How Much Does The Acidity Differ Between The Two Samples Given That Each Whole Number Change In Ph Represents A Tenfold Change In Acidity 633609 📰 Big Sur Download Mac 8039890 📰 Register For My Verizon Wireless 📰 B Yuna Fx The Untold Story Of The Gamer Who Shook The Fx Scene Forever 818504