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Home » The Hidden Power of a Ray: Science Proves It’s Life-Changing! - Midis

The Hidden Power of a Ray: Science Proves It’s Life-Changing! - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 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 $?

📌 Solution: For an equilateral triangle with side $ s $, the circumradius $ R $ is given by:

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