Answer:
2 radians
Step-by-step 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.
[tex]\frac{6}{6\pi } =\frac{x}{2\pi } \\\frac{1}{\pi } =\frac{x}{2\pi }\\1=\frac{x}{2} \\2=x[/tex]
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.
