1. **Problem:** Convert 200° into radians. 2. **Formula:** To convert degrees to radians, use the formula: $$\text{radians} = \text{degrees} \times \frac{\pi}{180}$$ 3. **Step-by-step solution:** - Start with the given angle in degrees: 200°. - Apply the formula: $$200 \times \frac{\pi}{180}$$ - Simplify the fraction by dividing numerator and denominator by 20: $$200 \times \frac{\pi}{180} = \cancel{200} \times \frac{\pi}{\cancel{180}} = 10 \times \frac{\pi}{9} = \frac{10\pi}{9}$$ 4. **Answer:** $$200^\circ = \frac{10\pi}{9} \text{ radians}$$ This means 200 degrees is equivalent to $\frac{10\pi}{9}$ radians.