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Home » \[ 4 + 0,7x = 0,5(10 + x) \] - go-checkin.com

\[ 4 + 0,7x = 0,5(10 + x) \] - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A circular sector with a central angle of \(120^\circ\) is cut from a circle with a radius of 10 cm. What is the area of the sector? Use \(\pi \approx 3.14\).

📌 The area of a circular sector is given by the formula:

📌 \text{Area} = \frac{\theta}{360^\circ} \times \pi r^2

📌 where \(\theta\) is the central angle in degrees, \(r\) is the radius of the circle, and \(\pi\) is the mathematical constant approximately equal to 3.14.

📌 Substitute the given values into the formula:

📌 \theta = 120^\circ, \quad r = 10 \text{ cm}

📌 \text{Area} = \frac{120}{360} \times 3.14 \times 10^2

📌 \frac{120}{360} = \frac{1}{3}

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