21. Geometry- Area Of A Circle We can understand why pi is less than 4 and further consideration will help someone see why it is greater than 3 Try geometry for more interesting concepts. http://math.about.com/library/weekly/aa111002a.htm

zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') About Homework Help Mathematics Home ... Math Tutors zau(256,152,145,'gob','http://z.about.com/5/ad/go.htm?gs='+gs,''); Math Help and Tutorials Math Formulas Math Lesson Plans Math Tutors ... Help zau(256,138,125,'el','http://z.about.com/0/ip/417/0.htm','');w(xb+xb); Stay Current Subscribe to the About Mathematics newsletter. Search Mathematics PiR - It is Greek to me. A Different approach to the 'Area of Circle'. Math Tutorials Conic Sections Circles Circle Calculator (Area/Diameter) P i. Every student will be introduced to this mysterious creature. Everyone of them has been told that it represents the ratio of the circumference of a circle to the diameter. With that in mind, please understand that the area of a circle is equal to p r . Simple concept! Let's practice using this formula with the following worksheet, and by the way if it makes no sense, then memorize the formula and the fact that you feel 'dumb' is hidden from all. The ratio Pi ( p ) can be demonstrated and with some ingenuity the concept can become concrete using props and hands on . Using Pi

22. Surface Area Formulas Surface Area Formulas. (Math geometry Surface Area Formulas). (pi = = 3.141592 ). Surface Area Formulas In general, the surface http://www.math.com/tables/geometry/surfareas.htm

Home Teacher Parents Glossary ... Email this page to a friend Resources Cool Tools References Test Preparation Study Tips ... Wonders of Math Search Surface Area Formulas Math Geometry pi Surface Area Formulas In general, the surface area is the sum of all the areas of all the shapes that cover the surface of the object. Cube Rectangular Prism Prism Sphere ... Units Note: "ab" means "a" multiplied by "b". "a " means "a squared", which is the same as "a" times "a". Be careful!! Units count. Use the same units for all measurements. Examples Surface Area of a Cube = 6 a (a is the length of the side of each edge of the cube) In words, the surface area of a cube is the area of the six squares that cover it. The area of one of them is a*a, or a . Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared. Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac (a, b, and c are the lengths of the 3 sides)

23. Volume Formulas Volume Formulas. (Math geometry Volume Formulas). (pi = = 3.141592 ) Volume Formulas. Note ab means a multiplied by b . a http://www.math.com/tables/geometry/volumes.htm

Home Teacher Parents Glossary ... Email this page to a friend Resources Cool Tools References Test Preparation Study Tips ... Wonders of Math Search Volume Formulas Math Geometry pi Volume Formulas Note: "ab" means "a" multiplied by "b". "a " means "a squared", which is the same as "a" times "a". "b " means "b cubed", which is the same as "b" times "b" times "b". Be careful!! Units count. Use the same units for all measurements. Examples cube = a rectangular prism = a b c irregular prism = b h cylinder = b h = pi r h pyramid = (1/3) b h cone = (1/3) b h = 1/3 pi r h sphere = (4/3) pi r ellipsoid = (4/3) pi r r r Units Area is measured in "cubic" units. The volume of a figure is the number of cubes required to fill it completely, like blocks in a box. Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the area would be 4 inches times 4 inches times 4 inches, or 64 cubic inches. (Cubic inches can also be written in

24. ProTeacher! Geometry And Measurements Lesson Plans For Elementary School Teacher to help celebrate pi Day (3/14) source. Shapes, Lines, Angles, and Quilts A lesson idea with directions and web links for teaching about the geometry of http://www.proteacher.com/100021.shtml

Quick Jump to.. BUSYBOARD PRIMARY K-3 GRADES 4-6 THE VENT ARCHIVE MAIN INDEX Child Dev. Class Mgt Humanities Mathematics Reading LA Soc Studies Science T Supplies Teaching P Classroom Library HELP! Grades 4-6 ] 5 Replies Community Service Project BusyBoard ] 4 Replies How do you integrate socst/science and use reading basal? Primary Themes ] 4 Replies Book sets for Science Primary Themes ] 4 Replies New Student - a bit long The VENT ] 4 Replies Computer grading program The VENT ] 4 Replies How to teach cross curricular Grades 4-6 ] 4 Replies swearing BusyBoard ] 3 Replies I would like to participate BusyBoard ] 3 Replies Teaching K-3 class Primary Themes ] 3 Replies What do you want? Primary Themes ] 3 Replies Navajo The VENT ] 3 Replies Classroom design Grades 4-6 ] 3 Replies public education issues Grades 4-6 ] 3 Replies Reading First BusyBoard ] 2 Replies crazy week BusyBoard ] 2 Replies MOOSE binder BusyBoard ] 2 Replies ice cream bucket uses BusyBoard ] 2 Replies Free materials!! BusyBoard ] 2 Replies Having a student teacher... Primary Themes ] 2 Replies Math Shapes Measurement - Trying to create a meaningful math or science experience? Need a more effective teaching strategy? Join us to share ideas and strategies for making math and science instruction effective and meaningful for students. Classroom technology questions are also welcome!

25. MID-ATLANTIC GEOMANCY: Sacred Geometry 3 pi (3.1416 1) is found in any circle. In sacred geometry, the circle represents the spiritual realms. A circle, because of that http://www.geomancy.org/sacred_geometry/sacgeo-2.html

- Pi - 3.1416 : 1 - the Circle The Circle: Radius (CD) = 1 Diameter (AB) = 2 Circumference = pi (3.1416) x Diameter Pi (3.1416 : 1) is found in any circle. In sacred geometry, the circle represents the spiritual realms. A circle, because of that transcendental number pi , cannot be described with the same degree of accuracy as the physical square. The circle is yin It is a good shape to do all kinds of spiritual activities in. It is good for groups to work in circles. There are many examples of sacred spaces that are circular. Ring of Brodgar, Mainland Orkney. Most stone rings in the British isles are not actually circular. Dr Alexander Thom proved this with his pioneering work in the sixties. Some of the true circles are Merry Maidens in Cornwall, Stonehenge and the Ring of Brodgar.

26. MID-ATLANTIC GEOMANCY: Sacred Geometry 1 I have seen pi taken to 1500 decimal places with no discernable pattern to it (is special numbers, and see how we can find them in the sacred geometry used by http://www.geomancy.org/sacred_geometry/sacgeo-1.html

Sacred Geometry Why Sacred Geometry? Dear Reader - Except for our MAG-Ezine, Mid-Atlantic Geomancy intends to be graphic intensive. The next page is all text. I felt it necessary to get some basic sacred geometrical information out in this manner. It's only one page, please chew through it.) Many, like myself, have suffered from math abuse at school (I have dyslexia). The math you will use here is basic and different. If you come to a section that is too difficult/threatening, skip just as little as you can, but please, continue! : ) If our Maker wants to talk with us, S/He will get us anywhere and anytime. There was a Christian-baiter named Saul who was travelling the road to Damascus on his way to bait some early Christians. God grabbed him and struck him blind. He became that misogynist Paul of New Testament fame. God/dess can grab your attention in the middle of Times Square or Piccadilly Circus. I don't know about you, but I wouldn't even think of attempting to contact Her in such a place. If we want to talk with God/dess, experience has shown that it helps to be in the right environment. Spiritual seekers from Mayans through Christians, Native Americans, Egyptians and Hindus to the Neolithic builders of the stone rings in Britain and Ireland (and many more) found that by constructing their sacred places using certain geometrical ratios - just a small handful of them - they could more easily connect with their Maker.

27. Geometry(ii) geometry(ii). Contents point only. Top of Page. pi Circumference is calculated from the value of the radius or the diameter. pi or http://www.mathstutor.com/Geometry(ii).html

GEOMETRY(ii) Contents: Circles: Pi: Properties and Rules: Examples: Circles: A shape designed of fixed points of equal distance from the centre, this distance is known as the radius . The circumference is the perimeter. An arc is a section of the circumference. A chord is a line joining two points on the circumference. The diameter is a chord which passes through the centre. A segment is part of the circle that is separated by a line. A sector is part of the circle separated by two lines of radius. A tangent is an outside line that just touches the perimeter at one point only. Top of Page Pi: Circumference is calculated from the value of the radius or the diameter. Pi or is 22 7 or approximately 3 14 and is necessary for many calculations. Circumference = 2 radius or diameter. Radius = circumference or diameter Diameter = circumference or 2radius. Area = radius Exercise with (Note: please use whole numbers only). Top of Page Properties and Rules: (i) The angle of a triangle on the circumference which includes a line through the diameter is always 90 , (see (i) angle a at points A B C ,) Right Angle.

28. Pi - Wikipedia, The Free Encyclopedia p (written as pi when the Greek letter is not available) is ubiquitous in many areas of mathematics and physics. In Euclidean plane geometry, p may be http://en.wikipedia.org/wiki/Pi

Pi From Wikipedia, the free encyclopedia. Server will be down for maintenance on 2004-06-11 from about 18:00 to 18:30 UTC. Alternative meanings: Pi (letter) Pi meson The mathematical constant (written as " pi " when the Greek letter is not available) is ubiquitous in many areas of mathematics and physics . In Euclidean plane geometry ratio of a circle 's circumference to its diameter , or as the area of a circle of radius analytically using trigonometric functions , e.g. as the smallest positive x for which sin x ) = 0, or as twice the smallest positive x for which cos x ) = 0. All of these definitions are equivalent. Archimedes ' constant (not to be confused with Archimedes' number Ludolph 's constant or Ludolph's number not a physical constant of nature , but rather a mathematical constant defined independently of any physical measurements. The first sixty-four decimal http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A000796 in OEIS ) are: Wikisource links: Wikisource - Pi to 1,000 Places http://sources.wikipedia.org/wiki/Pi_to_1,000_places 10,000 Places

29. InterMath | Investigations | Geometry the value of pi Estimation of pi *Joy of pi *FAQ about pi. Other *Venn diagrams *Circles in geometry *Designs with circles *Erich s packing center *geometry http://www.intermath-uga.gatech.edu/topics/geometry/circles/links.htm

Search the Site Investigations Geometry Circles External Resources Lessons, Activities, and Units Area Area of a circle Approximate the area of a circle using inscribed regular polygons Area of a circle by Jon Basden Area of a circle by Edwina Justice ... Relationship Between Circumference and area Circumference and pi Pimathematics page How to make pi with Geometer's Sketchpad Why pi? Circumference of a circle by Mrs. Glosser ... FAQ about pi Angles Circle angles with Geometer's Sketchpad The coffee cup caustic Segments Chord segments using technology Circumferences, diameter and radii Other Venn diagrams Circles in geometry Designs with circles Erich's packing center ... Spirograph (java) Literature Flatland, by Edwin A. Abbott, is a story about two-dimensional "creatures" (triangles, squares, other polygons, and circles) that live on a plane. Problem Solving Area Harvest moon problem Puzzle pie He ate it all! Circles and semicircles ... Carefully cutting cloth Circumference and pi Peanut's backyard Equal area and perimeter of a square and a circle?

30. InterMath | Investigations | Geometry Contact Us. Sitemap nav. Search the Site. Investigations geometry Circles Additional Investigations Rationalize pi It is possible http://www.intermath-uga.gatech.edu/topics/geometry/circles/a13.htm

Search the Site Investigations Geometry Circles ... Additional Investigations It is possible to approximate pi with a rational number. Let's play a game where you try to approximate pi to 4 decimal places using an expression of integers (decimals not allowed) with a fraction, exponent, or combination of the two. The goal will be to get the lowest score possible. Here's how you keep score: +1 for each digit used, and +0.2 for each ten-thousandth that you are away from the actual value of pi (= 3.1416, to the nearest 4 decimal places.) For example, 314/100 is equal to 3.14; your score would be +6 for using six digits and +3.2 for being 16 ten-thousandths away from pi, giving a total of +9.2. Another example is ; your score would be +3 for using three digits and +37.8 for being 189 ten-thousandths away from pi. What is the lowest score you can find? Submit your idea for an investigation to InterMath

31. EGYPTIAN GEOMETRY - Mathematicians Of The African Diaspora Sacred geometry? Until recently, Archimedes of Syracuse (250 BC) was generally consider the first person to calculate pi to some accuracy; however, as we shall http://www.math.buffalo.edu/mad/Ancient-Africa/mad_ancient_egypt_geometry.html

EGYPTIAN GEOMETRY DETERMINING THE VALUE OF THE PYTHAGOREAN THEOREM Sacred Geometry? THIS PAGE IS UNDER CONSTRUCTION Unfortunately, a great many school children are misslead into believing as 3+1/8 using the observation below that the area of a circle of radius is "close to" the area of a square 8 units on a side. Until recently, Archimedes of Syracuse (250 BC) was generally consider the first person to calculate pi to some accuracy; however, as we shall see below the Egyptians already knew Archimedes (250B.C.) value of = 256/81 = 3 + 1/9 + 1/27 + 1/81, (the suggestion that the egyptians used = 3.1415 for <3+1/7 while in China in the fifth century, Tsu Chung-Chih calculate pi correctly to seven digits. Today, we "only" know to 50 billion decimal places Note 1 khet is 100 cubits, and 1 meter is about 2 cubits. A setat is a measurement of area equal to what we would call a square khet. An alternate conjecture exhibiting the value of is that the egyptians easily observed that the area of a square 8 units on a side can be reformed to nearly yield a circle of diameter 9. Rhind papyrus Problem 50 . A circular field has diameter 9 khet. What is its area. The written solution says, subtract 1/9 of of the diameter which leaves 8 khet. The area is 8 multiplied by 8, or 64 setat. Now it would seem something is missing unless we make use of modern data: The area of a circle of diameter

32. Geometry Lesson Plans Discovering pi Many students tend to memorize, without understanding, formulas that we use in geometry or other mathematical areas. http://www.teach-nology.com/teachers/lesson_plans/math/geometry/

Best Sites Curriculum Daily History Downloads ... Professional Development Enter your email address for FREE weekly teaching tips! Home Teacher Resources Lesson Plans Math ... 3-D Drawing and Geometry - In this geometry unit you will see some different types of 3-D drawings, and learn how to do these drawings yourself. You will also explore many interesting careers that use these techniques, from architecture to movies. All about 2D shapes - Children will know the names and properties of a variety of 2D shapes. Children will be able to identify a right angle and parallel lines. Beautiful Bugs - Reinforces observation skills by providing an opportunity to create symmetric shapes or bugs. Develops visualization skills as well as provides the opportunity to link science and the arts through a sketching activity. Buckyballs - Students wondering why we study about polyhedral can find one reason by looking through the information in the links to Buckyballs.

33. The Golden Rectangle And The Golden Ratio I have since found the construction in geometry, by Harold R. Jacobs See pi and the Great Pyramid, where we find that the Great Pyramid also exhibits the ratio http://www.jimloy.com/geometry/golden.htm

Return to my Mathematics pages Go to my home page The Golden Rectangle and the Golden Ratio click here for the alternative Golden Rectangle and Golden Ratio page This diagram shows a golden rectangle (roughly). I have divided the rectangle into a square and a smaller rectangle. In a golden rectangle, the smaller rectangle is the same shape as the larger rectangle, in other words, their sides are proportional. In further words, the two rectangles are similar. This can be used as the definition of a golden rectangle. The proportions give us: a/b = (a+b)/a This fraction, (a+b)/a, is called the golden ratio (or golden section or golden mean). Above I have defined the golden rectangle, and then said what the golden ratio is, in terms of the rectangle. Alternatively, I could have defined the golden ratio, using the above equation. And then a golden rectangle becomes any rectangle that exhibits this ratio. From our equation, we see that the ratio a/b=1/2+sqr(5)/2 -1/2+sqr(5)/2 or 0.61803398875 . . .) is called the golden ratio. Also, other mathematical quantities are called phi. The golden ratio is also called tau. Some people call the bigger one (1.61803398875 . . .) Phi (an uppercase phi) and the smaller one (0.61803398875 . . .) phi.

34. Is Pi Constant In Relativity? measurements. This does not mean that pi changes because our definition of pi specified Euclidean geometry, not physical geometry. http://math.ucr.edu/home/baez/physics/Relativity/GR/pi.html

[Physics FAQ] Original by Philip Gibbs 1997. Is pi constant in relativity? Yes. Pi is a mathematical constant usually defined as the ratio of the circumference of a circle to its diameter in Euclidean geometry. It can also be defined in other ways; for example, it can be defined using an infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - . . . In general relativity, space and spacetime are non-Euclidean geometries. The ratio of the circumference to diameter of a circle in non-Euclidean geometry can be more or less than pi . For the types of non-Euclidean geometry used in physics the ratio is very nearly pi over small distances so we do not notice the difference in ordinary measurements. This does not mean that pi changes because our definition of pi specified Euclidean geometry, not physical geometry. No new theory or experiment in physics can change the value of mathematically defined constants.

35. ThinkQuest : Library : Math For Morons Like Us Volume Formula V = (4/3)(pi)r 3 Area Formula A = 4(pi)r 2. Math for Morons Like Us geometry Area and Volume of Solids /20991/geo/solids.html © 1998 http://library.thinkquest.org/20991/geo/solids.html

Index Math Math for Morons like Us Have you ever been stuck on math? If it was a question on algebra, geometry, or calculus, you might want to check out this site. It's all here from pre-algebra to calculus. You'll find tutorials, sample problems, and quizzes. There's even a question submittal section, if you're still stuck. A formula database gives quick access and explanations to all those tricky formulas. Languages: English. Visit Site 1998 ThinkQuest Internet Challenge Languages English Students Garrett Davis High School Library, Kaysville, UT, United States John Davis High School Library, Kaysville, UT, United States J. Robert Davis High School Library, Kaysville, UT, United States Coaches Jeff Davis High School Library, Kaysville, UT, United States Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy

36. ThinkQuest : Library : Math For Morons Like Us Formula A = (n/360)((pi)r 2 ). Back to Top. Math for Morons Like Us geometry Area /20991/geo/area.html © 1998 ThinkQuest Team 20991. http://library.thinkquest.org/20991/geo/area.html

Index Math Math for Morons like Us Have you ever been stuck on math? If it was a question on algebra, geometry, or calculus, you might want to check out this site. It's all here from pre-algebra to calculus. You'll find tutorials, sample problems, and quizzes. There's even a question submittal section, if you're still stuck. A formula database gives quick access and explanations to all those tricky formulas. Languages: English. Visit Site 1998 ThinkQuest Internet Challenge Languages English Students Garrett Davis High School Library, Kaysville, UT, United States John Davis High School Library, Kaysville, UT, United States J. Robert Davis High School Library, Kaysville, UT, United States Coaches Jeff Davis High School Library, Kaysville, UT, United States Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy

37. Earth/matriX:The Geometry Of Ancient Sites Even if one shows the pyramidal sites to be related as of the geometry of a circle and a sphere (in terms of degrees, radians and the concept of pi), the logic http://www.earthmatrix.com/ancientsites.html

E a r t h / m a t r i X Science in Ancient Artwork and Science Today The Geometry of Ancient Sites by Charles William Johnson Dedicated to Carl P. Munck Table of Contents The Geometry of Ancient Sites Introduction The Problematic The Geography and the Geometry The Corridors/Pathways on a Timeline The Great Pyramid Design Observations The Geometry of Ancient Sites by Charles William Johnson Introduction Today, we think of art and science as representing two diametrically opposed fields of human endeavor. With counted exceptions, the people who are dedicated to one field or the other are at opposite ends of the personality chain. One either does science or art, but seldom both. The artwork of the ancient past is thought to be wholly on the side of art, with little or nothing to do with science. At best, it may be conceded that some architectural constructions may have required a high level of engineering skill, but even that is thought to have been within the realm of technology and not science as such. Furthermore, there are those who persistently refuse to consider any contribution to science by the ancient cultures. In our studies of science in ancient artwork, we have come to realize that we know very little about the inner workings of the ancient past. We have no knowledge of the computational math behind much of the ancient artwork and ancient reckoning systems. Such documents as the

38. Computational Geometry Tutorial Computational geometry Tutorial. To view the applet, click here. If your connection is slow, download can take a while (say few minutes). http://www.imc.pi.cnr.it/~javacg/

Computational Geometry Tutorial To view the applet, click here . If your connection is slow, download can take a while (say few minutes). To grant the applet privileges to open/save files, you must perform the following steps: create a CGTutorial folder in your home directory; set an appropriate .java.policy file, again in your home; restart the applet. Alternatively, you can download the tutorial and run it as a standalone application ( java -jar CGTutorial.jar bartolet@di.unipi.it CGTutorial comes with ABSOLUTELY NO WARRANTY; This is free software, and you are welcome to redistribute it under certain conditions; see the GNU General Public License for details.

39. Source Code For Geometric Properties Form - HTML Code Tutorial This code creates the geometric properties form value; if (CircleRadius = 0) { GeoForm.Circle_circumference.value = 2 * Math.pi * CircleRadius ; GeoForm http://www.htmlcodetutorial.com/forms/geometry.html

back to Forms and Scripts Source Code for Geometric Properties Form This code creates the geometric properties form: which gives us this form: Circumference and Radius of a Circle radius: circumference: area: Surface Area and Volume of a Cone radius: height: surface area: volume: Surface Area and Volume of a Sphere radius: surface area: volume: Didn't find the answer to your question? Ask the experts on our HTML Help Forum and get your answers immediately! Contact Us About the Author Open Content License and the ... . Contents may be redistributed or republished freely under these terms so long as credit to the original creator and contributors is maintained.

40. Untitled Document use formulas for the area, surface area, and volume of geometric figures, including An introductory paragraph comparing the current approximation of pi to the http://www.csulb.edu/~aelizald/designelizalde/webquests/geometry/pi/pi.htm

PI WEBQUEST CONTENTS: INTRODUCTION - WHY PI? TASK - YOUR PI WEBQUEST ROLE PROCESS - DISCOVERING THE 'VALUE' OF PI EVALUATION - PI PARAGRAPHS ... TEACHER PAGE - PI IN YOUR CLASSROOM (1) INTRODUCTION - WHY PI? (a) Consider the following typical dialogue between a teacher and student: Teacher: The area of a circle is equal to "pi-r-squared". Student: Why? Teacher: Good question. I'll get back to you on that in a second. ...The circumference of a circle is equal to "pi-d". Student: What value should we use for pi? Teacher: Use 3.14 if you are working with decimals or 22/7 if you are working with fractions. Don't use the button on your calculator because you might get a different answer. Student: Why would I get a different answer? Teacher: Because your calculator does not use 3.14. Instead it uses a longer number. Student: If we can get so many different answers, then what good are the formulas? (b) Confused? Good, that was the point. This webquest is designed to alleviate some of the confusion surrounding pi and the area and circumference formulas. When you complete this webquest you will be able to answer the following questions: (i) What is the value of pi and how was it first determined?

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