the area of a sector of a circle with a central angle of 4 radians is 16cm^2. Find the radius of the circle. Do not round any intermediate computations. Round your answer to the nearest tenth.
we know that
The area of complete circle subtends a central angle of 2pi radians
so
using proportion
[tex]\begin{gathered} \frac{\pi r^2}{2\pi}=\frac{16}{4} \\ \text{solve for r} \\ \frac{r^2}{2}=4 \\ \\ r^2=8 \\ r=\sqrt[]{8\text{ cm}} \end{gathered}[/tex]