Perimeter Definition and 108 Threads

Homework Statement My knowns are: the trapezoid has a perimeter equal to 180 inches and it's base angles are ∏/3 The unknowns are: the lengths of the base (x) and the length of one of the slanted sides (y) as well as the relationship between x and y Homework Equations Trig equations...

Triangle ABC has side-lengths AB=12,BC=24,and AC=18. The line through the incenter of ABC parallel to BC intersects AB at M and AC at N. What is the perimeter of triangle AMN? (A)27 (B)30 (C)33 (D)36 (E)42 My friend is saying my solution is too messy and there was no need for the heron's...

say I have a circle with a diameter of d and there is a point at the top of the circle, p. I want to know the distance from point p to any other point on the perimeter and the angle θ from the tangent line of p. is there a function that will describe this? I will try to put up a picture to...

Hello fellows, I am writing a computer program in Fortran, to find the perimeter of multiple squares. These squares move as "time" goes along, and if they come in contact with each other, they stick together, forming clusters. The reason why I'm doing this in Fortran is because the original...

Homework Statement A circle is inscribed in a triangleHere is a picture Picture of circle inscribed in triangle, not necessarily to scaleWhich is larger: the circumference of the circle, or the perimeter of the triangle? Homework EquationsC=∏D (D=diameter of the circle, C=circumference of...

Could I get some help please?Let T1 be a triangle with sides 2011, 2012, and 2013. For n > = 1, if Tn = triangle ABC and D, E, and F are the points of tangency of the incircle of triangle ABC to the sides AB, BC, and AC, respectively, then Tn+1 is a triangle with side lengths AD, BE, and CF, if...

http://pirsa.org/12040059 Fine presentation today, room packed, good questions from audience (esp. from Turok but also from others.) Rovelli will spend several weeks at Perimeter during which time he also makes a side trip to Princeton Institute for Advanced Study to give a slightly different...

Suppose I have a rectangle with length x and height y:Can this ever be true? That xy = 2x+2y? My guess would be that area of a shape can never equal the perimeter of that shape. And that would be confirmed by the fact that the equation is always false (except if both variables equal zero...

Given this seemingly simple problem of maximising the area of an isosceles triangle with perimeter equal to 1. What is the best approach and how will I find a result easiest (I know how to get the answer but I need to be able to do these problems fast, so please help me look for a quick method...

I was wondering if anybody knew about when I should hear back from PSI? I realize the chance someone will be able to give me an answer is small, as it is not stated on their site and the course is only about 3 years old so few people have experience with it, but I was thinking that it's not...

Hello all, I was wondering if anyone knew if there are programs like Perimeter Scholars International for mathematics (rather than largely physics)?

Dimensions of rectangle are a=2 and b=5. Perimeter and area P=2a+2b=14 and A=a*b=10 If we take a rope of length l=14m, encircle the rectangle and connect the ends we will have the same perimeter. Now we take this rope and make circle of it, this circle will have the same perimeter of...

Homework Statement I want to measure the size of my back yard. I estimate that I can measure the length and width of the yard using a tape measure to an accuracy of 0.05m. I find that the length of the yard is 8.6 m and the width is 7 m. Calculate the perimeter of the yard and its...

Homework Statement The altitude perpendicular to the hypothenuse of a right triagle is 12 cm. Express the length of the hypothenuse as a function of the perimeter. I found a very elegant solution for the problem and even mathematia agrees on that asuming the equations i start with are right...

My friend and I have come across this problem in Apostol's Calculus Vol. 1, ed.2 (exercises 4.21 if anyone is looking). We are studying calculus independently and have become stumped by this one. Homework Statement The problem as written in Apostol: "A farmer wishes to enclose a rectangular...

Homework Statement http://img94.imageshack.us/img94/9216/thethingy.jpg Through a circle roundabout whose radius is 220 meters, they constructed a sidewalk in width of 30 meters. Calculate the perimeter of the sidewalk. The Attempt at a Solution perimeter of a circle equation: 2 x...

how to measure perimeter without pi? [before they knew about the pi ratio]

Marcolli has been a frequent collaborator with Alain Connes, and is now math prof at Caltech. Since NC geometry has yielded the Standard Model particles, plus some predictions, there is interest in basing the NC matter on spinfoam quantum geometry http://pirsa.org/11020110/ Spin Foams and...

Hello! Suppose that your objective is to do a PhD in an american university, one of the top to be exactly. Imagine you have to opportunity to chose between Cambridge Part III and Perimeter Institute master program. Which master would be the best way to achieve the stated goal? What would be the...

How would I find the maximum area of a triangle given a fixed perimeter? I assume that it would be an equilateral triangle, but I'm finding it very hard proving it. I started by drawing a triangle of side lengths a, b and P -(a+b) with angles of alpha, beta and gamma. I then used the...

I had a question on a test & could not get an answer and was wondering if someone might have a clue. The question presented four buildings--a square, rectangle, L-shaped building and circle. All of the buildings are one-story and have the same area. The question was which structure had the...

Hi, I am currently studying fundamental physics at University Paris 6 as an undergraduate (accomplishing my 4th year). I have to make an intership for 3months next summer, and I would like to it in theoretical physics (already did one in an experimental lab and i would like to see the other...

Homework Statement Jillian is getting ready to send a holiday package in the mail. The rectangular package has a square base and the sum of all the edges of the package measures 140 cm. What dimensions will produce a package with the largest possible surface area? Homework Equations...

[b]1. given a square MIKE, point U, U is an interior point, L is the midpoint of IK, then MU is a segment equal to segments EU and LU which is equal to 10 units. What is the perimeter of MIKE and the Area of IULK? [b]2. P= 4s, A=1/2h(b1+b2) [b]3. P=4(20), P=80 A=1/2(10)(10+20)...

Hello, I've read through ZapperZ's "walkthrough" until the PhD-section to get some info and it did help. More specifically: I'm doing my undergraduate studies in Belgium and I was wondering what it takes to apply to PI. This might seem like a silly question, but the system is really quite...

I'm not necessarily sure if anyone has posted this archive of Perimeter Scholars International Lectures but I suppose that if it has or hasn't they'll serve as a distinctive and quantitative approach to understanding rigorous and advanced physics topics. The link is the following...

Hey , I want to know about the courses in quantum computing at univ. of waterloo or IQC or perimiter institure for international students and also the procedure and other formalities to apply there??I have done masters in physics and currently having a 2 year IT exp. under my belt. i want...

Score one for Perimeter, it would be great if Hawking Radiation is confirmed so he could receive a Nobel and be recognized before his health fails him. http://www.dailymail.co.uk/news/article-1254945/Stephen-Hawking-plans-leave-Britain-Government-cuts-science.html"

http://pirsa.org/10020079/ Great talk about cool results. Perimeter has videos of a lot of excellent valuable lectures on line but if you would only watch one, be sure it's this :biggrin:

For me the most exciting talk, with the most new content, was by Vincent Rivasseau. He is at Orsay. That means the top Paris center for physics theory. We should get some slight acquaintance with the person, as well as his current research. http://www.rivasseau.com/index.html Born in 1955...

Homework Statement A tunnel cross-section is to have the shape of a rectangle surmounted by a semicircular roof. The total cross-sectional area must be A, but the perimeter minimised to save building costs. Find its dimensions Homework Equations The Attempt at a Solution I have...

perimeter of an elipse -- exact formula I found an exact formula for the perimeter of an ellipse in terms of its major and minor axis a = 1/2(major axis) b=1/2(minor axis) my equation for the perimeter of an ellipse...

perimeter of an ellipse -- exact formula I found an exact formula for the perimeter of an ellipse in terms of its major and minor axis a = 1/2(major axis) b=1/2(minor axis) my equation for the perimeter of an ellipse...

http://www.perimeterscholars.org/course-curriculum.html Perimeter Scholars International is an interesting 10 month educational concept where you earn a Masters degree in theoretical physics (cosmology, quantum gravity, condensed matter, string, foundations, quantum information---broad range...

Homework Statement a pentagon is formed by placing an isosceles triangle on a rectangle. If the pentagon has a fixed perimeter P, determine the lengths of the sides of the pentagon that maximize the area of the pentagon Homework Equations The Attempt at a Solution not sure...

I understand calculus, I just don't understand how it is applied to solve these sorts of problems. Homework Statement What is the smallest perimeter for a rectangle with an area of 16, and what are its dimensions?Homework Equations A=L*W P=2W+2L The Attempt at a Solution I managed to get the...

Hello, I need help with this problem please (this is counted as large part of my grade so please hel) thank you Problem: Each of three congruent circles has radius 1, and each is externally tangent to the other two. An equilateral triangle circumsribes this configuration, so that each...

Hi all, It seems obvious that the trapezoid with the smallest perimeter given the lengths of the bases and the height is the isosceles trapezoid. How can I prove this (preferably using analytical methods)? Note: this is not homework or anything. I need to know this as a step to prove the...

This is kind of a vague question but does anybody know if there is a more general relationship between the area and perimeter of plane figures. For example circles, squares, rectangles triangles any regular polygon really, the area can be written in terms of the perimeter. Is there anything...

Why does the area of an ellipse have a closed form while the perimeter does not? Obviously if the area is finite so is the boundary so it seems the perimeter should be calculable in a closed form.

http://www.perimeterinstitute.ca/Events/The_Clock_and_the_Quantum/Abstracts/ The week ending 2 October there was a conference on time and quantum theory at Perimeter. Some who gave talks were Lee Smolin Roger Penrose Neil Turok Leonard Susskind William Unruh Rafael Sorkin ... The link gives...

First, try to use your own sense. Take a twine (rope) and put it around a ball, or an orange (sphere). Now you have the circumference (perimeter) of that sphere. Take this twine and add 1m more (one more meter - it can be any unit of liner measure). Put this one meter longer twine around...

Question: A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum possible area of the yard, in terms of x? Answer: My first guess is x^2 / 9 if you assume the yard is square. I'm a little unsure of my answer since for either the horizontal...

Hi everybody, In physics and mathematics, we often use the theorem that the circle alway has the smallest perimeter compared to all other geometric shapes of the same area. Anyone can tell me how to prove that? Thanks for reading.

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 +...

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...

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...

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...

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...

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.