Subjects trigonometry

Degrees To Radians 94348B

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks to convert 240 degrees into radians. 2. The formula to convert degrees to radians is $$\text{radians} = \text{degrees} \times \frac{\pi}{180}$$. 3. Applying the formula: $$240 \times \frac{\pi}{180}$$. 4. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 60: $$240 \times \frac{\pi}{180} = \cancel{240}^4 \times \frac{\pi}{\cancel{180}^3} = \frac{4\pi}{3}$$. 5. Therefore, 240 degrees in radians is $$\frac{4\pi}{3}$$, which is the simplest form.