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Home » \textMean = \frac11010 = 11 - Groen Casting

\textMean = \frac11010 = 11 - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 c = 2R \sin\left(rac{ heta}{2}

📌 Substituting $ heta = rac{2\pi}{3} $:

📌 c = 2R \sin\left(rac{\pi}{3}

📌 ight) = 2R \cdot rac{\sqrt{3}}{2} = R\sqrt{3}

📌 The ratio of chord length to radius is:

📌 rac{c}{R} = \sqrt{3}

📌 Thus, the ratio is $ oxed{\sqrt{3}} $.

📌 Question: An environmental researcher models a circular carbon capture dome with a triangular support frame inscribed in it. If the triangle is equilateral with side length $ s $, and the domeâs radius equals the circumradius of the triangle, what is the area of the dome in terms of $ s $?

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