The length of the arc is [tex]\rm \dfrac{14\pi }{3}[/tex].
A central angle is an angle whose (vertex) is the center o of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.
The arc intersected by a StartFraction 2 pi Over 3 EndFraction radian central angle in a circle with a radius of 7 feet.
The arc length is given by the following formula;
[tex]\rm Arc \ length =r\times \theta\\\\ Arc \ length =7 \times \dfrac{2\pi }{3}\\\\Arc \ length =\dfrac{14\pi }{3}[/tex]
Hence, the length of the arc is [tex]\rm \dfrac{14\pi }{3}[/tex].
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