Answer
$ 0.24\text{ rad}$
Work Step by Step
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 $3=\frac{\theta}{2}\cdot 5^2\\\left(\frac{2}{25}\right)3=\left(\frac{2}{25}\right)\frac{\theta}{2}\cdot 25\\\frac{6}{25}=\theta.$
Thus, $\theta\approx 0.24\text{ rad}$
