#### Answer

$\frac{5\pi}{4}$ radians

#### Work Step by Step

Step 1: The formula to be used here is $w=\frac{\theta}{t}$.
Step 2: After substituting the values of $w$ and $t$ provided by the question into this formula, the equation becomes $\frac{\pi}{4}=\frac{\theta}{5}$
Step 3: Multiplying both sides by $5$,
$\frac{\pi}{4}\times5=\frac{\theta}{5}\times5$
Step 4: Simplifying, $\theta=\frac{5\pi}{4}$ radians.