Question

What is the arc length of an angle of 2π 3 radians formed on the unit circle? A) π 3 B) 2π 3 C) 4π 3 D) 5π 3

Answer 1

We know that
in a unit circle the radius is 1
therefore
[Length of a circumference]=2*pi*r------> 2*pi

if 2pi radians in a circle unit has a length of ------------>  2*pi
2pi/3 radians----------------------------> X
X=2pi/3

the answer is 2pi/3

Answer 2

The correct answer is:

2π/3.

Explanation:

An angle formed on the unit circle would be a central angle.

The measure of an intercepted arc is the same as the measure of the central angle; since the angle is 2π/3, the arc length is 2π/3.