1. The problem is to convert the angle \(\theta = 310^\circ\) from degrees to radians. 2. Recall the conversion formula: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\). 3. Substitute \(310\) degrees into the formula: $$\theta = 310 \times \frac{\pi}{180}$$ 4. Simplify the fraction by dividing numerator and denominator by 10: $$\theta = \frac{31\pi}{18}$$ 5. The exact answer in radians is: $$\boxed{\frac{31\pi}{18}}$$ This is the exact radian measure of \(310^\circ\).