Answer
$75\pi$
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: $A= \frac{1}{2}\times r\times r\times\theta=\frac{1}{2}\times r\times (r\times\theta)=\frac{1}{2}rs$
Step 3: $A=\frac{1}{2}rs=\frac{1}{2}\times10\times15\pi=75\pi$
Step 4: Therefore, the area is $75\pi$.