ANSWER
The length of arc AB is π units.
Step-by-step explanation
The length of an arc of a circle is calculated using the formula:
![l = ( \theta)/(360) * 2\pi \: r](https://img.qammunity.org/2020/formulas/mathematics/high-school/a14w3c70ts7lgjj32nymqf8e8ouenuesdj.png)
Where
![\theta = 30 \degree](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7ziz0vi3j93tna7kddmd6payaat4bhxu4u.png)
is the angle of sector and r=6 units is the radius of the circle.
We substitute these values into the formula to find the length of arc AB.
![l = (30)/(360) * 2 * \pi \: * 6](https://img.qammunity.org/2020/formulas/mathematics/high-school/hnncbla08z8iufhqq661noskf2j970y0i2.png)
![l = \pi](https://img.qammunity.org/2020/formulas/mathematics/high-school/x8392hqumqert7qd24tas79sp20xef2gco.png)
The length of the arc is π units.
So put 1 as the coefficient.