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Home » You Won’t Believe What Happens When You Taste Real Blood Pudding! - High Altitude Science

You Won’t Believe What Happens When You Taste Real Blood Pudding! - High Altitude Science

📅 March 11, 2026 👤 scraface

Mar 11, 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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But let's check: 3.14 × 49 = 153.86 — correct
Let’s do 153.86 × 180 / 100 = (153.86 × 18) / 10
150×18=2700, 3.86×18=69.48, total 2769.48, ÷10 = 276.948 → 276.95 if t...
But in the original examples, all answers are integers. So accept.
However, to avoid inconsistency, let's instead compute exactly:
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Proceeding with that.
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