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Home » m_n = \frac1n - \frac15n^5 - All Square Golf

m_n = \frac1n - \frac15n^5 - All Square Golf

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 The ratio of the area of the pond to the area of the walkway is:

📌 \text{Ratio} = \frac{A_{\text{pond}}}{A_{\text{walkway only}}} = \frac{\pi r^2}{24\pi r^2} = \frac{1}{24}

📌 Thus, the ratio of the area of the pond to the area of the walkway is \(\boxed{\frac{1}{24}}\).

📌 A 5 cm by 12 cm rectangle is inscribed in a circle. What is the number of centimeters in the circumference of the circle? Express your answer in terms of \(\pi\).

📌 To find the circumference of the circle:

📌 The rectangle is inscribed in a circle, meaning the diagonal of the rectangle is the diameter of the circle.

📌 Use the Pythagorean theorem to compute the diagonal \(d\) of the rectangle:

📌 d = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 \text{ cm}

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