Answer:
2 radians
Explanation:
The ratio of the arc length to the circumference is the same as the measure of angle AOB in radians to 2pi. 2pi radians is a full circle. We can now construct an equation, with x being our answer.
![(6)/(6\pi ) =(x)/(2\pi ) \\(1)/(\pi ) =(x)/(2\pi )\\1=(x)/(2) \\2=x](https://img.qammunity.org/2021/formulas/mathematics/high-school/ockupfm2psjr9m9vm3hahz7uqr2r9zyvm9.png)
First, we try to simplify both sides. Next, we multiply both sides by pi. Then, we multiply both sides by 2. Finally, our answer is 2, so 2 radians.