FUN MATH PROBLEM — Circling the Square & Vice-Versa
From time to time I will post interesting math problems.
Feel free to try these problems. Share them with friends and colleagues. Use them however you see fit!
I will post the answer to the problems two days later, after people have had time to respond.
To post your response, simply send an email to me @ info@SingingTurtle.com
and make your Subject: Fun Problem.
The problem: Which provides the fuller fit? Putting a circular peg in a square hole, or putting a square peg in a circular hole? To get credit, show all work, and justify your answer by expressing each “fit” as a percent.
A few term-clarifications, to help you do this correctly:
a) By “fit,” I mean the ratio of the smaller shape to the larger shape, expressed as a percent. For
example, if a ratio is 4 to 5, that would represent a “fit” of 80 percent.
b) For the circular peg in the square hole, assume that the diameter of the circle equals the side of the
square. For the square peg in a circular hole, assume that the diameter of the circle equals the diagonal of the square.
c) By “fuller fit,” I mean the larger of the two ratios.