Subjects trigonometry

Radians To Degrees D5234A

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1. The problem is to convert the angle $\pi$ radians to degrees. 2. The formula to convert radians to degrees is: $$\text{degrees} = \text{radians} \times \frac{180}{\pi}$$ 3. Substitute $\pi$ radians into the formula: $$\text{degrees} = \pi \times \frac{180}{\pi}$$ 4. Simplify by canceling $\pi$: $$\text{degrees} = \cancel{\pi} \times \frac{180}{\cancel{\pi}} = 180$$ 5. Therefore, $\pi$ radians is equal to 180 degrees. This means that an angle of $\pi$ radians corresponds exactly to 180 degrees, which is a straight angle.