You have been invited to a fundraising gala at your old college (via Zoom of course) and decide that this black-tie event demands a super white Italian shirt, like the one you bought years ago for your wedding.
When you find and bravely try the wedding shirt on (size 16), your wife notices that the collar suffocates you — you DO need about 1/4″ more space everywhere in-between your neck and the collar all around your neck.
So you’ll need a new shirt.
What size shirt do you need to buy?
PS1: In case you don’t know, shirt size 16 means that a tape wrapped around your neck and two fingers positioned flat upfront will measure 16 inches.
PS2: Puzzle answer is below. Please try to solve it before checking out the answer 🙂
Maria Lando (aka TheMathMom) illuminates and demystifies mathematics for adults, describing its fun use in everyday life. TheMathMom has been featured in multiple media outlets including The Boston Globe, The Jewish Advocate, and Redbook Magazine. Learn more at TheMathMom.com.
Yes, math can come handy in the dressing room, so let’s refresh our geometry! A shirt collar is almost circular, and as you remember circle circumference = 2 x Pi x Radius. Shirt size 16 means that a tape wrapped around your neck and two fingers positioned flat upfront will measure 16 inches.
At the time of your wedding: 2 x Pi x Radius of your neck = 16.
Now: 2 x Pi x new Radius of your neck = 2 x Pi x (wedding Radius of your neck + 1/4) = 2 x Pi x wedding Radius of your neck + 2 x Pi x 1/4 = 16 + Pi/2 = 16 + 3.14/2 = 17.57 (approx).
So, you are more around size 17.5 now.