Answer: The radius of the circular rug is 6 meters. 
Explanation:
Hi, to answer this question we have to apply the next formula: 
Area of a circle (A) = pi r² 
Where r is the radius: 
Replacing with the values given: 
36 pi=pi r² 
Dividing both sides by pi: 
36 = r² 
√36= r 
r = 6 meters 
So, the radius of the circular rug is 6 meters. 
Feel free to ask for more if needed or if you did not understand something.