Originally Posted by Wizofoz
It isn't necessary to include wing area or any other factor into the formula as CL is just that-a co-efficient.
If one wing produces twice the lift of another wing at the same speed and air pressure, it has twice the CL. Could be because of wing area, aerofoil section, planform, angle of attack etc. etc.
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CL is a dimensionless coefficient. If you analyse the dimesions in the equation you will find that you DO need area in the right hand side in order that CL be dimensionless.
Do the analysis to prove it to yourself.