Question

find the area of this sector if ( r = 2 ) and ( \theta = \frac{17pi}{36} ) 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 \(\theta=\frac{17\pi}{36}\), we substitute these into the formula:

$$
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$$

Answer:

\(\frac{17\pi}{18}\)