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Home » Nordosten impliziert gleiche Komponenten: 2,6 cm Nord und 2,6 cm Ost - Esdistancia

Nordosten impliziert gleiche Komponenten: 2,6 cm Nord und 2,6 cm Ost - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 \boxed{10, \, 0.8}

📌 A circle is circumscribed around a square with side length \(5 \, \text{cm}\). What is the circumference of the circle?

📌 The diagonal of the square is the diameter of the circumscribed circle. Using the Pythagorean theorem:

📌 d = \sqrt{5^2 + 5^2} = \sqrt{50} = 5\sqrt{2}

📌 The radius \(r\) of the circle is half the diagonal:

📌 r = \frac{5\sqrt{2}}{2}

📌 C = 2\pi r = 2\pi \left(\frac{5\sqrt{2}}{2}\right) = 5\pi\sqrt{2}

📌 Thus, the circumference of the circle is:

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