Answer:
Hence, the arc length is 2π feet or 6.28 feet.
Explanation:
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.
If the central angle is measured in degrees than the arc length is given by:
arc length=(θ\360°)×2πr.
and if central angle is measured in radians than the arc length is given by:
arc length=θr. ( where r is the radius of the circle)
where θ is the central angle.
Hence, here we have:
r= 3 ft.
and θ=2π/3.
Hence the arc length is given by:
Arc length=(2π/3)×3=2π feet.
Hence, the arc length is 2π feet or 2×3.14=6.28 feet.