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Home » Now compute the number of distinct permutations (arrangements) of each partition. - AssociationVoting

Now compute the number of distinct permutations (arrangements) of each partition. - AssociationVoting

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 The lateral surface area is:

📌 \pi r \ell = \pi (5x)(13x) = 65\pi x^2.

📌 Total surface area:

📌 25\pi x^2 + 65\pi x^2 = 90\pi x^2.

📌 \boxed{90\pi x^2}

📌 Question: Compute $ \tan 45^\circ $.

📌 Solution: The tangent of $ 45^\circ $ is defined as $ \frac{\sin 45^\circ}{\cos 45^\circ} = \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1 $.

📌 Question: A circle is inscribed in a square of side length $ 8 \, \text{cm} $. What is the area of the circle?

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