Subjects trigonometry

Radians To Degrees C73915

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1. **State the problem:** Convert the angle $\pi$ radians to degrees. 2. **Formula:** To convert radians to degrees, use the formula: $$\text{degrees} = \text{radians} \times \frac{180}{\pi}$$ 3. **Apply the formula:** Substitute $\pi$ for radians: $$\pi \times \frac{180}{\pi}$$ 4. **Simplify:** Cancel $\pi$ in numerator and denominator: $$\cancel{\pi} \times \frac{180}{\cancel{\pi}} = 180$$ 5. **Conclusion:** $\pi$ radians equals $180$ degrees. This means an angle of $\pi$ radians corresponds to a straight angle of $180$ degrees.