Harry,
Hey, c'mon...
Indeed a discriminating cuckoldress could, as you say, make this argument. Men's cocks are, in reality, better approximated as elliptical in cross section with larger semi-major axis in the horizontal direction and smaller semi-minor axis in the vertical direction. The relevant formula is:
circumference = (2pi)[(1/2)(a^2 + b^2)]^(1/2)
where pi = 3.14 (as noted previously), a is the semimajor axis, b is the semiminor axis, ^2 means squared, and [ ... ]^(1/2) means take the square root of the quantity in brackets. See, for instance:
Approximate Circumference of an Ellipse - Geometry - CalcEnstein
Now, since there are two quantities to be measured, the question comes to mind whether it might be possible to simplify this formula to make it more appealing to women who are discerning aficionados of cock size, such as Madam Pespearfish. Such women, of course, are busy so they are intolerant of overly complicated "potential lover evaluation" procedures.
I propose the following simplification in which you, Harry, can play a pivotal role by determining the "elliptical flattening" of your erect weenie cross-section. Here is the procedure.
1. Assume the "elliptical flattening" of your own erect weenie cross-section is typical of men's cocks in general, regardless of circumference variations.
2. Obtain a pair of calipers (we don't want any crude approximations here) and a ruler that includes a centimeter and millimeter scale (forget about trying to do calculations using the U.S. medieval unit system).
3. Politely ask your wife to assist you. If she refuses, mention you'll have to advertise online for a suitably-attractive young woman in your local area to assist you. This should suffice to secure her cooperation, although she may grumble.
4. Take off your clothes... all of them... in front of your wife.
5. Get it up. If this is a problem, politely ask your wife to assist you.
6. Using your calipers and your cm/mm ruler, instruct your wife to measure the horizontal thickness (twice the semiminor axis "a") of your weenie and write down the number. If your wife snickers or laughs loudly, sternly remind her of the seriousness of this enterprise. Repeat this measurement at least twice.
7. Repeat "4" vertically, thereby determining twice the semiminor axis "b" of your weenie.
8. Politely ask your wife if you may put your clothes back on. If your wife likes CFNM and orders you to remain nude then, of course, remain nude. In either case, if you have managed to keep it up throughout these measurements, politely mention to your wife that you'd appreciate it if she would give you a reward.
9. Using a hand calculator, calculate the flattening of the ellipse that represents your erect weenie cross-section, using:
f = (a − b)/a = (2a - 2b)/2a , where 2a and 2b are the horizontal and vertical thicknesses, respectively, of your weenie as noted above. I.e., ellipse flattening is the difference between the horizontal and vertical thicknesses of your weenie, divided by the horizontal thickness of your weenie.
Now, assume the flattening of the ellipse that represents your weenie cross-section is about the same as the elliptical flattening of men's cocks in general. In other words f, once determined, remains a constant for all time, sort of like the constant in Newton's law of gravitation.
Re-arranging, we obtain:
(2a)(f) = 2a - 2b . Re-arranging again,
2b = 2a - (2a)(f) = 2a - 2af = 2(a - af) .
Canceling the 2's and factoring out "a":
b = (a-af) = a(1 - f) .
Now, substitute "a(1 - f)" for "b" in the formula for the circumference of your weenie ellipse, that being:
circumference = (2pi)[(1/2)(a^2 + b^2)]^(1/2) .
10. We obtain:
circumference = (2pi){(1/2)[a^2 + (a(1-f))^2]}^(1/2)
11. Finally, evaluate the improvement the formula in "10" yields by comparing the value it yields to the circumference value you obtain by approximating your erect weenie cross-section as a circle, as suggested in my previous post.
where "a" is the horizontal thickness of ANY man's cock, (...)^2 means (...) squared, {...}^(1/2) means the square root of the whole quantity {...}, and f is "cock ellipse" flattening, assumed constant for all men*, as determined by YOU, Harry.
Voila! We have a more-realistic universally-applicable formula in which women who are discerning cock aficionado's, like Madam Pespearfish, need measure only ONE variable, the horizontal thickness of their candidate lover's cocks. They will have to carry calipers and a small half-length centimeter/millimeter ruler in their handbags, but for the serious cuckoldress-on-the-go with limited tolerance for delay, this should be a minor inconvenience.
If an efficiency-minded cuckoldress (Madam Pespearfish, for instance) wished to save even more time, she could purchase a programmable calculator and program-in the above formula. Then, she need only enter the horizontal thickness of a candidate's erect cock (as he sits, say, in the passenger seat of her car with his pants down), enter it, press one button (to start her program), and PRESTO! Her candidate's cock circumference would appear on her calculator screen.
—Custer
*I encourage all others on this forum who wish to determine the "elliptical cross-section flattening f" of their erect weenies or cocks (as the case may be) to do so. The results can then be tabulated and averaged to obtain a more universally-applicable value for "f."