At 9:26:53 AM/PM today the numbers will stack up to a representation of the factor Pi. While it is generally used to compute the areas of circles or the volumes of pipe, it has many other uses in space exploration, etc. This is partly a re-post from a few years ago; with some portions rewritten.
We all take Pi for granted. It’s loaded into our computers and calculators for us, and we use it in equations all the time without ever thinking of it beyond it formulaic utility. Some years ago, while working as an estimator of utilities, I found it necessary; or maybe desirable; to understand the exact meaning of Pi and how it worked in relation to the circle.
We all take Pi for granted. It’s loaded into our computers and calculators for us, and we use it in equations all the time without ever thinking of it beyond it formulaic utility. Some years ago, while working as an estimator of utilities, I found it necessary; or maybe desirable; to understand the exact meaning of Pi and how it worked in relation to the circle.
Having failed at the subject all through high school, and
even before that, I had this “fear” of math brought on by my parent’s
assertions that I was not able to understand the subject, coupled with a school system which was geared to teaching to the test, rather than teaching an understanding the subject at hand.Had they wanted to really engage my passion all they
would have had to do was make the problems relevant to real life.
For example,
you are on a ship and headed in any given direction for 8 days at so many miles per
hour. How far have you gone? That would have got me interested in math early on. And by high
school, rather than teaching geometry and trigonometry to pass a test, using Nautical
Astronomy as an example would have proven more effective at teaching not only both of those
subjects, but given the student a true perspective of what mathematics is actually used for. Inadvertently, it would also have taught the
subject; which was supposed to be the point.
What is Pi? 3.14159 is the most common answer. Then
browse Wikipedia for what that means. Ask the “math” student in your family.
The answers you get will all be concerned with the number rather than what it
really means, or stands for. That was the purpose of charting it, as I did
above, almost 30 years ago while estimating the volume of pipe necessary to
hold a specific amount of water. I used a 6” pipe for the example, mostly
because it was easily equated to decimal form, and I had a boatload of 6” pipe
on hand. However, the resultant .785 factor will work with any size of circle
for are, or pipe for volume.
I kept running into Pi while figuring things out, and
then rechecking my figures. But, like most folks, I never really understood
what it represented, apart from an arbitrary factor that worked. And I really
wanted to know why it did. So, I did what Captain Ellison used to tell us at
the Baltimore School of Navigation; “Draw it out!” Well, I did. And while
putting some of my papers in order the other evening; I am actually doing that;
I ran across this and decided to post it for posterity.
In short, while Pi represents the factor used to determine the
area within a circle, by careful calculation; and drawing the problem out; it
becomes apparent that Pi actually represents .785% of the area of any circle. Will this change the world as we know it? I hardly think so. But it is an example of the beauty and perfection of numbers.
While I have rounded off the number to obtain this new
factor, it should not pose any real problems for any calculations confined to
construction, travel etc. Would I use it to build a spaceship and plan a trip
to Mars? Hardly. But for the average needs of an estimator; or carpenter; this
factor works out just fine.
I hope someone finds this useful and lets me know! Pi for
now!
Note: Though I was able to find something about the factor .785 referenced
on line; and one fellow even describes drawing a square with a circle inside
the perimeters; I still find this explanation and diagram easier to follow.
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