Question

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π3 radians. What is the length of the arc?

2π ft
​ 3π ​ ft
​ 6π ​ ft
​ 9π ​ ft

Answer 1

The correct answer is 2π ft.

Explanation:

Verified by correct test results.

Answer 2

the correct question is
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc?

we know that
in a circle
2π radians -----------------> lenght of (2*π*r)
2π/3 radians--------------> X
X=[(2π/3)*(2π*r)]/[2π]=(2π/3)*r

the lenght of the arc=(2π/3)*3=2π ft

the answer is 2π ft