Question

In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 2π/3 radians.

Answer 1

Arc Length = Ф/2π * 2πr

l = 2π/6π * 2 * 3.14 * 6

l = 1/3 * 37.68

l = 12.56

In short, Your Answer would be: 12.56 Feet

Hope this helps!

Answer 2

In fact, the arc you want is $\frac{1}{3}$of the whole circle
so arc length is just $\frac{1}{3}$ the perimeter
perimeter is: 2×6×π=12π≈37.68
so what you want is 37.68÷3=12.56