Answer
$\theta=108 \text{ radians}$
Work Step by Step
RECALL:
$\omega=\dfrac{\theta}{t}$
Substitute the given values into the given formula above to obtain:
$\omega=\dfrac{\theta}{t}
\\9\text{ radians per sec}= \dfrac{\theta}{12\text{ sec}}$
Cross-multiply to obtain:
\begin{array}{ccc}
&\theta&=&(9 \text{ radians per sec}) \cdot (12\text{ sec})
\\&\theta &=&108 \text{ radians}\end{array}