#### Answer

$\theta=\frac{4}{3}$ radians

#### Work Step by Step

Step 1: The formula to be used here is $s=r\theta$ where $s$ is the length of the arc intercepted on a circle of radius $r$ by a central angle of measure $\theta$ radians.
Step 2: Substituting the data provided by the question into the equation, $(200)=(150)(\theta)$
Step 3: Multiplying both sides by \frac{1}{150},
$200\times\frac{1}{150}=150\theta\times\frac{1}{150}$
Step 4: Simplifying, $\theta=\frac{4}{3}$ radians.