Question

In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 2π3 radians.

What is the arc length?

Use 3.14 for π .

Enter your answer as a decimal

Answer 1

I just took the quiz and got it correct :)

Explanation:

Look at the image down below, I hope this helps!

Answer 2

we know that

the length of a circumference=2*pi*r
for r=6 ft
the length of a circumference=2*pi*6---------> 37.68 ft

if 2π radians (full circle)-------------------> has a length of 37.68 ft
2π/3 radians-------------------------------> X
X=2π/3*37.68/2π-------------> X=12.56 ft

the answer is 12.56 ft