Answer: [tex]\frac{2\pi }{3}[/tex]
Step-by-step explanation:
The circumference of the circle is 2 π r, where r is the radius of the circle. This means that in any circle, there are 2 π radians. Given arc AB is one third of the circumference.
One third of circumference that is 2π=[tex]\frac{1}{3}.2 \pi =\frac{2\pi }{3}[/tex]
The measure of the central angle is [tex]\frac{2\pi }{3}[/tex]
