If you find any of this useful, please consider donating via PayPal to help keep this site going.

Email news@statisticool.com to sign up to receive news and updates



Mileage Lost from Cutting Corners

4/16/10

Consider walking a square with side s. The total length walked is then 4s. However, if you cut corners, that is, walk less than s per side by cutting over to the next side diagonally, you walk a distance less than 4s. If this distance is added up over a day, a week, a month, a year, etc., the mileage adds up!

If you cut corners, you go from walking a square to walking essentially an octagon.

The length of a long side of the octagon is

s - 2*(a/sqrt(2)) = t

Therefore, the total length walked per lap of the octagon is

4t+4a

Therefore the total difference is length walked between walking a square and walking an octagon is

Perimeter(Square) - Perimeter(Octagon) =

4s-4t-4a =

4(s-t-a)

Consider a specific example. Say you walk around a parking structure at lunch and s = 100 feet. Say if you do cut, the length of the diagonal walked is a = 15 feet. Therefore, the perimeters are: Perimeter(Square) = 400 and Perimeter(Octagon) = 375, and therefore you lose 25 feet by cutting corners, per lap of the octagon.

However, at lunch you don't just walk one lap, you walk many laps. If you walk 6 laps, every day for 365 days, cutting corners would make you lose 54,428 feet, or 10 miles! Please see this simulation and change the highlighted cells.

However, you don't just exercise for one year and then stop, you exercise for many years. If you keep up the practice of cutting corners for five years you are losing about two marathons! You are exercising, which is good, but you are not getting what you could be getting.

Think of all the other examples where you are cutting corners, either physically or metaphorically, from your exercise and eliminate those practices.

Please anonymously VOTE on the content you have just read:

Like:
Dislike:




Standard exercise disclaimer: The material contained in this article is provided for informational purposes only. Before undertaking any form of exercise, you should consult with your physician. You should be aware if you engage in exercise you are doing so entirely at your own risk, including any present and/or future physical or psychological pain or injury that you may incur. The author of this content cannot assume any responsibility or liability for any injuries or losses that you may incur as a result of acting upon any information provided by this content, or any links to other exercise information found herein.

If you enjoyed any of my content, please consider supporting it in a variety of ways:

AFFILIATE LINK DISCLOSURE: Some links included on this page may be affiliate links. If you purchase a product or service with the affiliate link provided I may receive a small commission (at no additional charge to you). Thank you for the support!