HELP with current in loops and solenoids

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To create a current loop from a 1.1-meter copper wire that generates a 1.66 mT magnetic field with a current of 1.01 A, the user initially calculated the number of turns using the formula LB/UI, resulting in approximately 1438 turns. However, the user is uncertain about the next steps to determine the diameter of the coil. The discussion focuses on applying relevant equations to find the coil's diameter based on the total length of the wire and the magnetic field strength. Clarification on how to proceed with the calculations is sought. The conversation emphasizes the need for further guidance in solving the problem effectively.
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Homework Statement


You have a 1.1-m-long copper wire.You want to make an N-turn current loop that generates a 1.66 mT magnetic field at the center when the current is 1.01 A. You must use the entire wire. What will be the diameter of your coil?


Homework Equations





The Attempt at a Solution


I figured that this is a solenoid so I tried starting off by finding the number of turns it would take by using this equation...
LB/UI = N
The U is Mue 1.257x10^-6
I got 1438.28
but now I don't know what to do?
 
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does anyone know what to do for this problem?
 

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