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Home » Therefore, the circumference of the circle is \(\boxed13\pi\). - Appfinity Technologies

Therefore, the circumference of the circle is \(\boxed13\pi\). - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 To find the circumference of the circle:

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

📌 Use the Pythagorean theorem to compute the diagonal \(d\) of the rectangle:

📌 d = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 \text{ cm}

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

📌 r = \frac{13}{2} \text{ cm}

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

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

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