1. The problem is to convert the angle 315° from degrees to radians. 2. The formula to convert degrees to radians is: $$\text{radians} = \text{degrees} \times \frac{\pi}{180}$$ 3. Applying the formula: $$315^\circ \times \frac{\pi}{180}$$ 4. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 45: $$315 \times \frac{\pi}{180} = \cancel{315} \times \frac{\pi}{\cancel{180}} = 7 \times \frac{\pi}{4} = \frac{7\pi}{4}$$ 5. Therefore, the angle 315° in radians is: $$\boxed{\frac{7\pi}{4}}$$