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how long after you boil watter can you drink it - Imagemakers

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 2Frage: Ein Quadrat mit einer Seitenlänge von 8 cm ist in einen Kreis eingeschrieben. Wie ist der Umfang des Kreises in Zentimetern? Gib deine Antwort in Bezug auf \(\pi\) an.

📌 Um den Umfang des Kreises zu finden, in den ein Quadrat mit einer Seitenlänge von 8 cm eingeschrieben ist, bestimmen wir zuerst den Durchmesser des Kreises. Bei einem Quadrat, das in einen Kreis eingeschrieben ist, ist der Durchmesser des Kreises gleich der Diagonale des Quadrats. Mit dem Satz des Pythagoras wird die Diagonale \(d\) des Quadrats wie folgt berechnet:

📌 d = \sqrt{8^2 + 8^2} = \sqrt{64 + 64} = \sqrt{128} = 8\sqrt{2} \text{ cm}.

📌 Der Umfang \(C\) des Kreises ist gegeben durch

📌 C = \pi \cdot d = \pi \cdot 8\sqrt{2} = 8\sqrt{2}\pi \text{ cm}.

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