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📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 Thus, the ratio is \(\boxed{\frac{\pi \sqrt{3}}{72}}\).

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

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

📌 The diagonal \( d \) of the rectangle can be found using the Pythagorean Theorem:

📌 Thus, the diameter of the circle is \( 13 \) cm, so the radius \( r \) is:

📌 The circumference \( C \) of the circle is:

📌 C = 2\pi r = 2\pi \cdot \frac{13}{2} = 13\pi \text{ cm}

📌 Therefore, the circumference of the circle is \(\boxed{13\pi}\).

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