1. The problem is to convert 240° to radians and express the answer 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 60:
$$\frac{240\pi}{180} = \frac{4\pi}{3}$$
5. Therefore, 240° in radians is $\frac{4\pi}{3}$.
This is how we get the answer $\frac{4\pi}{3}$ from 240°.
Degrees To Radians Efeb68
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.