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Home » El área es \( 8 \times 24 = 192 \). - Parker Core Knowledge

El área es \( 8 \times 24 = 192 \). - Parker Core Knowledge

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Thus, the radius of the inscribed circle is $ oxed{2} $ cm.

📌 Question: A square with side length $ 8 $ 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 $.

📌 Solution: The diagonal of the square is the diameter of the circle. For a square with side length $ s $, the diagonal $ d $ is:

📌 d = s\sqrt{2}

📌 Substituting $ s = 8 $:

📌 d = 8\sqrt{2} ext{ cm}

📌 This is the diameter of the circle. The circumference $ C $ of a circle is given by:

📌 C = \pi \cdot ext{diameter} = \pi \cdot 8\sqrt{2} = 8\sqrt{2}\pi ext{ cm}

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