#### Answer

$\theta=2$ radians

#### Work Step by Step

Step 1: According to the question, the radius $r=\frac{1}{2}$ inch and the arc length $s= 1$ inch.
Step 2: Therefore, to find $\theta$, we apply the formula $\theta=\frac{s}{r}$
Step 3: Substituting the values of $s$ and $r$ in the formula, $\theta=\frac{1}{0.5}$
Step 4: Solving, $\theta=2$ radians