#### Answer

$15000$ cm$^{2}$

#### Work Step by Step

Step 1: The formula to be used here is $A=\frac{1}{2}r^{2}\theta$ where $A$ is the area of the sector of the circle of radius $r$ and central angle $\theta$.
Step 2: $A=\frac{1}{2}r^{2}\theta=\frac{1}{2}\times r\times (r\times\theta)=\frac{1}{2}rs$
Step 3: Substituting the values into the equation,
$A=\frac{1}{2}\times150\times200=15000$ cm$^{2}$