Surface Area of an EggDate: 07/20/2002 at 22:10:46 From: Perry Subject: Surface area of an egg How do I find the surface area of an egg? Date: 07/26/2002 at 09:09:51 From: Doctor Nitrogen Subject: Re: Surface area of an egg Hi Perry. After lengthy searches, I could not find one neat formula that would help you calculate the surface area of an egg. The problem is that there is a lot of research by mathematicians on the shape/surface area of an egg, and there are many different kinds of "ovals" that help to determine an egg's shape: "Cassini" ovals, "lemniscate" ovals (these are parts to something which is called a "higher plane curve"), etc. Also remember that there are different kinds of eggs: chicken eggs, ostrich eggs, reptile eggs, dinosaur eggs, etc. An ellipsoid (something shaped like the Goodyear blimp) is kind of shaped like an egg. There are two special symmetric cases, called "prolate" and "oblate", for which formulas exist. You can find those formulas in our FAQ: http://mathforum.org/dr.math/faq/formulas/faq.ellipsoid.html The general case is more difficult. You can find an extended discussion of it here: Surface Area of an Ellipsoid http://home.att.net/~numericana/answer/ellipsoid.htm#thomsen At the Chickscope's EggMath site, http://chickscope.beckman.uiuc.edu/explore/eggmath/ you will find almost every conceivable geometrical fact about eggs. But if you have an egg that doesn't seem to fit any of the formulas at these sites, you can still come up with an approximation: 1. Find some yarn, or some speaker wire, or something like that, which won't stretch too much. 2. Glue one end of the yarn at one end of the egg, and wind it around until it covers the whole egg. (You might want to use glue at some points along the way, to keep it from unraveling. You might also want to hard boil the egg, to keep it from breaking easily!) 3. When you've finished, cut the yarn so that you have a piece that just covers the egg. The surface area of the yarn is the about the same as that of the egg. 4. Measure the width of the yarn while it's pressed against the egg. Unwind the yarn, and multiply that width by the length of the yarn, and you have the area - assuming that you were able to keep it from stretching while winding it around the egg. Hope this helps. - Doctor Nitrogen, The Math Forum http://mathforum.org/dr.math/ |
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