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Home » Slate Grey: The Swiss Army Knife of Interior Decor You Never Knew You Needed - Carbonext

Slate Grey: The Swiss Army Knife of Interior Decor You Never Knew You Needed - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Thus, the ratio of the area of the circle to the area of the triangle is:

📌 \frac{\pi r^2}{6r^2} = \frac{\pi}{6}

📌 Therefore, the ratio is $ \boxed{\frac{\pi}{6}} $.

📌 Question: A square with side length $ s $ is inscribed in a circle. If the circumference of the circle is $ 10\pi $ cm, what is the area of the square in square centimeters?

📌 The circumference of the circle is given by $ 2\pi R = 10\pi $, so solving for $ R $:

📌 R = 5 \text{ cm}

📌 Since the square is inscribed in the circle, the diagonal of the square equals the diameter of the circle:

📌 \text{Diagonal} = 2R = 10 \text{ cm}

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