Subjects trigonometry

Radians To Degrees

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Radians To Degrees


1. The problem is to convert the angle $\frac{2 \pi}{3}$ radians into degrees. 2. Recall the conversion formula between radians and degrees: $$\text{degrees} = \text{radians} \times \frac{180}{\pi}$$ 3. Substitute $\frac{2 \pi}{3}$ for radians: $$\frac{2 \pi}{3} \times \frac{180}{\pi}$$ 4. Simplify by canceling $\pi$: $$\frac{2}{3} \times 180 = \frac{2 \times 180}{3}$$ 5. Calculate the multiplication and division: $$\frac{360}{3} = 120$$ 6. Therefore, $\frac{2 \pi}{3}$ radians equals $120$ degrees. 7. The correct answer is d. 120°.