Find the area of the sector of a circle having radius $r$ and central angle $\theta$. \[ r=13.3 \mathrm{~cm}, \theta=\frac{\pi}{11} \]

Step 1 ：We are given the radius \(r = 13.3 \, \text{cm}\) and the central angle \(\theta = \frac{\pi}{11} \, \text{radians}\).

Step 2 ：The formula to find the area \(A\) of a sector of a circle is \(A = \frac{1}{2} r^2 \theta\).

Step 3 ：Substitute the given values into the formula: \(A = \frac{1}{2} \times (13.3)^2 \times \frac{\pi}{11}\).

Step 4 ：Solving the above expression gives \(A \approx 25.26 \, \text{cm}^2\).

Step 5 ：\(\boxed{25.26 \, \text{cm}^2}\) is the area of the sector of the circle.