1. Use the formula to convert degrees to radians:
\text{radians} = \text{degrees} \times \frac{\pi}{180}
2. Substitute 200 degrees into the formula:
200 \times \frac{\pi}{180}
3. Simplify the expression:
\frac{200\pi}{180} = \frac{10\pi}{9}
4. Substitute the value of \pi (approximately 3.141592653589793):
\frac{10 \times 3.141592653589793}{9} \approx 3.490658503988659
5. Round the result to 3 decimal places:
3.491
The answer is 3.491