Subjects trigonometry

Degrees To Radians 59Bdcf

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1. The problem is to convert 240° to radians and express it as a multiple of $\pi$. 2. The formula to convert degrees to radians is: $$\text{radians} = \text{degrees} \times \frac{\pi}{180}$$ 3. Applying the formula: $$240^\circ \times \frac{\pi}{180} = \frac{240\pi}{180}$$ 4. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 60: $$\frac{240\pi}{180} = \frac{4\pi}{3}$$ 5. Therefore, 240° in radians is $\frac{4\pi}{3}$. This means the angle 240 degrees corresponds to $\frac{4\pi}{3}$ radians, which is the answer shown in the image.