Answer:
4.67 ft
Step-by-step explanation:
An arc is simply a portion of the circumference of a circle.
To find the length of an arc, we simply need to apply the formula:
[tex]L = \frac{\alpha }{360} * 2\pi r[/tex]
where α = angle subtended by the arc = [tex]\frac{2\pi }{3}[/tex] rads = [tex]\frac{2\pi }{3} * \frac{180}{\pi }[/tex] degrees = 38.2°
r = radius of the circle = 7 ft
Hence, the length of the arc is:
[tex]L = \frac{38.2}{360} * 2*\pi *7[/tex]
[tex]L = 4.67 ft[/tex]
The length of the arc is 4.67 ft
