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the star wars knights of the old republic - Professionaloutdoormedia

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 5Question: A 5 cm by 8 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 $\pi$.

📌 Solution: The diagonal of the rectangle is the diameter of the circle. Using the Pythagorean theorem, the diagonal $d$ is $\sqrt{5^2 + 8^2} = \sqrt{25 + 64} = \sqrt{89}$. Therefore, the radius of the circle is $\frac{\sqrt{89}}{2}$. The circumference is given by $2\pi r = 2\pi \cdot \frac{\sqrt{89}}{2} = \pi\sqrt{89}$.

📌 \boxed{\pi\sqrt{89}}

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