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Convert \( -\frac{4 \pi}{3} \) radians to degree measure.

Ask by Mills Rodriguez. in the United States
Mar 14,2025

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\( -\frac{4 \pi}{3} \) radians is equal to \( -240^{\circ} \) degrees.

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The Deep Dive

To convert radians to degrees, you can use the conversion factor \( \frac{180}{\pi} \). So, for \( -\frac{4 \pi}{3} \) radians, the calculation would be: \[ -\frac{4 \pi}{3} \times \frac{180}{\pi} = -\frac{4 \times 180}{3} \] This simplifies to: \[ -\frac{720}{3} = -240 \text{ degrees} \] So, \( -\frac{4 \pi}{3} \) radians is equal to \( -240 \) degrees.

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