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

Answer

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Answer

$\boxed{25.26 \, \text{cm}^2}$ is the area of the sector of the circle.

Steps

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.