Answer: approximately 3.5 meters.
Step-by-step explanation:
Given: Circumference of the smaller circle is approximately 11 meters.
Circumference of a circle = [tex]\pi d[/tex] , where d= diameter.
Ratio of circumference to diameter = [tex]\pi[/tex]
As per given,
[tex]\pi=\dfrac{11}{d}\\\\\Rightarrow\ d=\dfrac{11}{\pi}\\\\\Rightarrow\ d=\dfrac{11\times7}{22}\ \ \ [\pi=\dfrac{22}7]\\\\\Rightarrow\ d=\dfrac72=3.5\ meters[/tex]
Hence, the diameter of the smaller circle is approximately 3.5 meters.