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Home » No other configuration allows 4 non-adjacent H’s in 7 positions. - Dyverse

No other configuration allows 4 non-adjacent H’s in 7 positions. - Dyverse

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 The surface area of a sphere is \( 4\pi r^2 \). Set this equal to \( 144\pi \):

📌 \[ 4\pi r^2 = 144\pi \]

📌 \[ r^2 = 36 \]

📌 \[ r = 6 \text{ cm} \]

📌 A 45-degree angle is formed by a line and the positive x-axis. If the line intersects a circle of radius 10 cm, what is the length of the arc subtended by this angle?

📌 The arc length \( L \) is given by \( L = r\theta \), where \( \theta \) is in radians.

📌 Convert 45 degrees to radians:

📌 \[ \theta = \frac{45 \times \pi}{180} = \frac{\pi}{4} \]

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