Given the degree measure:
[tex]315\text{\degree}[/tex]
You need to remember the following formula for converting a measure from degrees to radians:
[tex]Measure\text{ }in\text{ }degrees\cdot\frac{\pi}{180\text{\degree}}[/tex]
Therefore, applying that formula, you get:
[tex]315\text{\degree}\cdot\frac{\pi}{180\text{\degree}}=\frac{7\pi}{4}[/tex]
Hence, the answer is:
[tex]\frac{7\pi}{4}[/tex]
