## Precalculus (10th Edition)

$0.44\text{ rad}.$
Here, $r$ denotes the radius of the sector of the circle. The Area of sector can be computed by the formula: $A=\frac{\theta}{2}\cdot r^2$ where $\theta$ is the central angle measure in radians. Hence here we have $8=\frac{\theta}{2}\cdot 6^2\\\left(\frac{2}{36}\right)8=\left(\frac{2}{36}\right)\frac{\theta}{2}\cdot 6^2\\\frac{4}{9}=\theta.$ Thus, $\theta\approx0.44\text{ rad}.$