1. **State the problem:** We need to find what fraction of a semicircle the angle 315° represents and then convert 315° to radians. 2. **Recall the facts:** - A full circle is 360°. - A semicircle is half of a full circle, so it measures 180°. - To find the fraction of a semicircle an angle represents, divide the angle by 180°. - To convert degrees to radians, use the formula $$\text{radians} = \text{degrees} \times \frac{\pi}{180}$$. 3. **Calculate the fraction of the semicircle:** $$\frac{315}{180} = \frac{7}{4}$$. This means 315° is \(\frac{7}{4}\) times a semicircle. 4. **Convert 315° to radians:** $$315 \times \frac{\pi}{180} = \frac{315\pi}{180} = \frac{7\pi}{4}$$. 5. **Final answers:** - Fraction of a semicircle: \(\frac{7}{4}\) - Radian measure: \(\frac{7\pi}{4}\) radians