Answer:
[tex]6\sqrt2\\OR\\8.48528137[/tex]
Step-by-step explanation:
The area of a sector of a circle is found by:
[tex]A = \frac{\theta*r^2}{2}[/tex]
The question asks for the radius so the equation above can be repurposed
[tex]r = \sqrt\frac{2A}{\theta}[/tex]
A = 3pi
angle = pi/12
[tex]\frac{6\pi}{\pi/12} = \frac{72\pi}{\pi} = 72[/tex]
[tex]\sqrt{72} = 6\sqrt2 = 8.48528137[/tex]
