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Home » Only x = -1 + 2√3 is valid (since x > 1) - Ready Digital AB

Only x = -1 + 2√3 is valid (since x > 1) - Ready Digital AB

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 Question:** A programmer models a circular sensor with a radius of \(5\) cm. A square with side length equal to the diameter of the circle is inscribed in the circle. What is the circumference of the circle in terms of \(\pi\)?

📌 The diameter of the circle is twice the radius:

📌 \[ d = 2 \times 5 = 10 \text{ cm} \]

📌 The circumference \(C\) of the circle is given by:

📌 \[ C = \pi \times \text{diameter} = \pi \times 10 = 10\pi \]

📌 Question:** A triangle with side lengths \(7\) cm, \(24\) cm, and \(25\) cm is examined. What is the length of the shortest altitude?

📌 The triangle with sides \(7\) cm, \(24\) cm, and \(25\) cm is a right triangle (\(7^2 + 24^2 = 25^2\)). The area \(A\) of the triangle is:

📌 \[ A = \frac{1}{2} \times 7 \times 24 = 84 \text{ cm}^2 \]

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