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Convierte \( \frac{3 \pi}{7} \) radianes a grados

Ask by Reid Ortega. in Colombia
Mar 09,2025

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Tutor-Verified Answer

Answer

\( \frac{3 \pi}{7} \) radianes son aproximadamente \( 77.142857 \) grados.

Solution

Convert \( \frac{3 \pi}{7} \) radianes to grados. Rewrite the angle by following steps: - step0: Convert to degrees: \(\frac{3\pi }{7}\) - step1: Convert to degrees: \(77.\dot{1}4285\dot{7}^{\circ}\) La conversión de \( \frac{3 \pi}{7} \) radianes a grados es aproximadamente \( 77.142857 \) grados.

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Beyond the Answer

Para convertir radianes a grados, utilizamos la relación de que \(180\) grados es igual a \(\pi\) radianes. Por lo tanto, para convertir \( \frac{3 \pi}{7} \) radianes a grados, multiplicamos por \( \frac{180}{\pi} \): \[ \frac{3 \pi}{7} \times \frac{180}{\pi} = \frac{3 \times 180}{7} = \frac{540}{7} \approx 77.14 \text{ grados} \] Así que \( \frac{3 \pi}{7} \) radianes es aproximadamente \( 77.14\) grados. ¡Listo!

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