The area of the sector of the circle is [tex]\frac{11\pi }{3}[/tex].
The formula for area of sector is simple - multiply the central angle by the radius squared, and divide by 2.
Radius = 2m
Central angle = [tex]\frac{11\pi }{6}[/tex]
Area of sector = [tex]\frac{11\pi }{6}*2^{2}/2 = \frac{11\pi }{3}[/tex]
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