What is Perimeter: Definition and 115 Discussions

A perimeter is either a path that encompasses/surrounds/outlines a shape (in two dimensions) or its length (one-dimensional). The perimeter of a circle or an ellipse is called its circumference.
Calculating the perimeter has several practical applications. A calculated perimeter is the length of fence required to surround a yard or garden. The perimeter of a wheel/circle (its circumference) describes how far it will roll in one revolution. Similarly, the amount of string wound around a spool is related to the spool's perimeter; if the length of the string was exact, it would equal the perimeter.

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  1. S

    Maximising area for constant perimeter

    Homework Statement A curve y = y(x) meets the x-axis at x = a, x = -a and has fixed length pi*a between these points. Show that the curve which encloses the maximum area between itself and the x-axis is the semi circle x^2 + y^2 = a^2 for y => 0Homework Equations INT[-a,a] ds = INT[-a,a] (1 +...
  2. F

    Perimeter of a triangle inscribed in a circle

    Homework Statement Find the Perimeter of an equilateral triangle inscribed in a circle knowing the radius r. Homework Equations - The Attempt at a Solution Browsing the web I found that the intersection of the three perpendicular bisectors of a traingle is the center of it's...
  3. S

    Solving Perimeter Math Problems: Joe's House and Eric's Windows Explained

    So lost. I'm sure it's simple. :confused: The picture I have to work off of is attached. Here are my questions: 11. This picture shows Joe’s house. What is the perimeter of the house? Explain your answer. 12. Find the answer to the following problem. Show all of your work and...
  4. E

    Calculating the perimeter of a region using integrals

    I was wondering,how do we calculate the perimeter of a region using integral calculus?I know that to calculate the area we have to draw the region and if we want the reunion of those regions we have to sum them and use some values to define the boundaries of the integral. Any help on this is...
  5. marcus

    New Perimeter video archive format

    the Perimeter streamer site has over a year's worth of seminar talks and public lectures on video and you used to get to them by going to the streaming media site and scrolling down menus and selecting from menus, but there was no comprehensive library structure that you could use to jump right...
  6. marcus

    Freidel makes faculty at Perimeter

    Laurent Freidel was postdoc at Perimeter for a while. As of recently he is faculty. Now they have 3 faculty in non-string QG: Smolin and Markopoulou being the others.
  7. T

    Perimeter Institute Streaming Seminars

    I do not know who to contact at the Perimeter Institute in Waterloo, so I though I would ask the question here. How can someone with a Apple Mac, like me watch the streaming seminars? Everytime I try watching any of the video's with window's media player, I get an error message saying...
  8. H

    Solving a Triangle: Verifying, Calculating Area & Perimeter, and More!

    The vertices of a triangle are P(-3,1,2), Q(1,-3,-1) and R(3,-1,-1) -Verify that it is a right angled -Determine the area -Determine the perimeter -What are the coordinates of S(x,y,z) such that PQRS is a rectangle I'm not sure how to start to go about solving this problem. Could...
  9. marcus

    Bojowald Perimeter talks 28 and 29 June

    sometimes these Perimeter seminar talks become available at the stream media site http://streamer.perimeterinstitute.ca:81/mediasite/viewer/ Martin Bojowald (Penn State) is scheduled to speak Wednesday and Thursday of next week June 28 2:00 pm: Quantum Theory in Cosmology "Not only general...
  10. marcus

    Hossi to Perimeter in September

    In a few months Sabine Hossenfelder joins Perimeter Institute, as, I guess, a postdoc (dont know the structure there) What do you think about PI, it's intention, research and researchers (gossip welcome :biggrin:). [this post edited with helpful suggestion of hossi]
  11. john baez

    Quantum gravity workshop at perimeter institute

    This quantum gravity workshop at the Perimeter Institute was really cool: http://www.perimeterinstitute.ca/activities/scientific/PI-WORK-2/ It was their first conference in the new building. I'm writing an issue of This Week's Finds about some things I learned that made me much more...
  12. arivero

    Calculating Area and Perimeter of Geometric Figures with pi^2 and (pi^2-1)

    Is there any geometric figure whose calculation (area, perimeter, ...) involves the terms pi^2 or (pi^2-1) ?
  13. O

    Photos of Perimeter Institute's new facility

    To view some nice photos of Perimeter Institute's new building that were taken on its official opening day (Oct 2/2004) see: http://agar.ca/gallery/pi20041002 Perimeter Institute is located in Waterloo, Ontario, Canada. More specifically, the new facility is located in uptown Waterloo...
  14. J

    What is the formula for the perimeter of an ellipse?

    Could anyone direct me to an analytically correct algebraic formula for the Perimeter of an Ellipse based on either the eccentricity or the Semi-Major and Semiminor Axes other than the Elliptic Integral ? If so, how accurate will it be for relatively high eccentricities such as 0.9-1.0 ? Thanks.
  15. D

    Calculating Octagon Area from Perimeter of 72

    I forgot the equation on how to solve for the area of an octagon. No information is given except that the total perimeter is 72 inches since we know that each side is 9-inch long. I looked up some stuff on the internet but it said we had to know the area from the middle of the shape to the...
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