Answer: [tex]6.04\ ft[/tex]
Step-by-step explanation:
Given
The fence has a length of 38 ft i.e. it is the circumference of the circular flower
The circumference of the circle is [tex]2\pi r[/tex]
Insert the values
[tex]\Rightarrow 2\pir=38\\\\\Rightarrow 2\times \dfrac{22}{7}\times r=38\\\\\Rightarrow r=\dfrac{38\times 7}{2\times 22}\\\\\Rightarrow r=\dfrac{266}{44}\\\\\Rightarrow r=6.04\ ft[/tex]
The largest radius of the garden is [tex]6.04\ ft[/tex]