Question

find the area of this sector if ( r = 2 ) and ( \theta = \frac{pi}{9} ) radians.

Explanation:

Step1: Recall the formula for the area of a sector

The formula for the area of a sector is \( A=\frac{1}{2}r^{2}\theta \), where \( r \) is the radius and \( \theta \) is the central angle in radians.

Step2: Substitute the given values into the formula

Given \( r = 2 \) and \( \theta=\frac{\pi}{9} \), substitute these into the formula:

$$
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$$

Answer:

\(\frac{2}{9}\pi\)