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Topic: Dividing a circle into areas

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  Into   (Site not responding. Last check: 2007-10-21)
A Descent into the Maelstrom "A Descent into the Maelstrom" is a Edgar Allan Poe.
Into the Fire (Babylon 5) Next:"Epiphanies" Into the Fire is an episode from the fourth season of the science-fiction te...
Into the Unknown Into the Unknown is a 1985 breakup.
www.brainyencyclopedia.com /topics/into.html   (749 words)

 Dividing a circle into areas - Wikipedia, the free encyclopedia
In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides, in such a way as to maximise the number of areas created by the edges and diagonals, has a solution by an inductive method.
The mission is to find the maximum number f(n) of areas that the circle can be divided into, as a function of the number n of points.
One part of the theorem asserts that the number of regions is maximal if all "inner" intersections of two different chords are simple (exactly two chords pass through a point of intersection of chords Q in the interior).
en.wikipedia.org /wiki/Dividing_a_circle_into_areas   (1163 words)

 Calculating Areas with Curved ...   (Site not responding. Last check: 2007-10-21)
The exact area of a segment depends on the shape of the curve, and even for a simple curve, like an arc of a circle, the formula is not simple.
Since the formula for the area of a triangle is exact but the formulas for segments and fillets are approximate, it is desirable that most of the wing area be represented by triangles.
If the segment-fillet area is off by 10% but the total area of the segments and fillets is less than 20% of the total wing area, then over all error will be less than 2%, that is 10% of 20%.
www.rrcc.org /tips/tip003.htm   (593 words)

 Math Forum - Geometry Problem of the Week   (Site not responding. Last check: 2007-10-21)
The diameter of the circle and the radius of the semicircle are 12 units.
Area of the region of the semicircle that is outside the circle: 72*(Pi) - 36*(Pi) = 36*(Pi) Therefore, half of the semicircle's area is located outside of the inscribed circle.
Area = (226.195 square units) - (113.097 square units) Area = 113.097 square units Furthermore, if the radius of one circle is double the radius of another circle, the area of the greater circle is four times greater than the area of the smaller circle.
mathforum.org /geopow/archive/solutio85.html   (860 words)

 Subject: Re: Reply to Robin, Diminishing Circle Argument
The two smaller circles should be equal in area, with one edge intersecting the outside edge of the circle E (the point where the diameter intersects the circumference) and the other edge passing through the radius of E (this is easier to draw than to describe).
This gives you two smaller circles, A and B, each with a diameter that is half the diameter of the original circle E. This is because the area of E is (pi x r squared), and the area of circle B is (pi x (r/2) squared), (where r refers to the radius of A).
This equals pi x r squared/4, or 1/4 the area of the original circle E. Since A and B are equal in size, they have the same area, which is equal to 1/4 the area of E. Hence the areas of A and B together equal 1/2 the area of E, the large circle.
www.flowresearch.com /Harry-Sedinger.htm   (522 words)

Of course, this leads to applying rules related to portions of the area of a circle and the arcs of a circumference based on the number of degrees where two radii intersect.
The area of a circle with a radius of 1 is
The circles are relatively easy but remember to double the calculation of the surface area of one of them because you have a top and a bottom.
www.maxthetest.com /freetour/FreeSAT/circles/CircleArcABC.html   (1721 words)

 Recreation Regulatory Negotiation Committee - Final Report
The designated trailhead may include vehicle a parking area for the public to access the trail or may connect from a sidewalk, or from a street or road in an area where pedestrian access from a nearby neighborhood may be expected.
For example, a picnic area located next to a lake in a park is considered a separate picnic area from a pavilion with numerous picnic tables within the same park.
Overlooks and viewing areas are specifically designed and constructed to provide an unobstructed observation of a vista or to a specific point of interest, such as the view to a mountain range or down into a valley or to a waterfall or geologic formation.
www.access-board.gov /outdoor/outdoor-rec-rpt.htm   (21363 words)

 Riemann for Anti-Dummies Part 12
Those magnitudes that are measurable directly by the diameter of the circle, have the first degree of knowability, those measurable by a part of the diameter, have the second degree, and those whose squares are measurable by the diameter, have the third.
But to divide it into three parts, that is, to inscribe a triangle in it, requires the generation of a magnitude of the second degree of knowability.
But, to divide the circle into five parts, requires the generation of a magnitude of the third degree of knowability, specifically, the golden section.
www.geocities.com /antidummy/part12.html   (2269 words)

 Grade 8: Area of circle
In relation to the 16-wedge circle, discuss that the height of the "almost" triangle is less than the radius of the circle but getting close to being equal to the radius and that the base is less than 1/16 of the circumference of the circle but getting close to being that fraction of the circumference.
Calculating the area of the circle by using the formula should result in a value that is close to the estimate.
The area of four of them is 4 x 5 x 5.] Ask if the area of 4 x 5 x 5 is bigger than the area of the circle (expect: TOO BIG).
io.uwinnipeg.ca /~jameis/PAGES/MYR65.html   (1938 words)

 The Nature of Pi
In particular, the outer length of a circle (its circumference) relative to its diameter is the same for all circles.
It may also mislead students into thinking of measurements as associated solely with the objects being measured, while missing their dependence on the tools and the manner of measurement.
Measurement is also useful for determining the relationships between the side lengths and the perimeters and areas of similar shapes and the surface areas and volumes of similar objects.
www.cut-the-knot.org /pythagoras/NatureOfPi.shtml   (2030 words)

 Science Forums and Debate - how do i work out the area of a circle without a calculator?
the area of a circle is pi*r^2, you shpould always keep the pi in, unless for some reason you need to know where it approximately lies on the real number line, but generally there's no need to know.
Please notice your original two lines making the cross intersect the mother circle in four places that are perfectly (at least in your head they are perfect...because this is all an exercise to emphasize the validity of mathematical ideas here) and evenly spaced around the circular perimeter/circumference.
Draw a new line from the point where that splitting line intersects the mother circle to one of the two vertices of the 45-45-90 triangle that is NOT at the center of the mother circle.
www.scienceforums.net /forums/printthread.php?t=6281   (1556 words)

The climate of an area is determined in part by the physical surface of the land, but is even more dependent upon its distance from the equator and the movement of warm and cold air masses through it.
This area is high and somewhat level, but has mountains and hills that run north to south in the east, and is drained by several rivers, the most important of which are the Fraser and the Columbia.
The area lies within the temperate climatic zone, at mid-latitudes, where warm air from the subtropics and tropics meets the colder air from the polar area.
www.santarosa.edu /~mbond/workbookIntro.html   (7956 words)

 Math Forum - Mathematics Teacher Bibliography: Circles   (Site not responding. Last check: 2007-10-21)
A circle which has as a diameter a segment with one endpoint on the x-axis and the other endpoint on the y-axis must pass through the origin.
Finding the ratio of the area of one regular polygon to that of another when they are inscribed in the same circle.
Medians of isosceles triangles and chords of circles.
mathforum.org /mathed/mtbib/circles.html   (1107 words)

 32-7-11   (Site not responding. Last check: 2007-10-21)
Dividing walls or partitions shall be at least five (5) feet high and, if separated from the floor, shall be by a space of no more than twelve (12) inches.
The minimum required area and dimensions shall be measured at a height equal to the top of the threshold and at a point tangent to its centerline.
Each shower shall be designed to minimize the flow of water into the dressing area and shall be properly connected to the sewage system by means of a trapped inlet.
www.rilin.state.ri.us /Statutes/TITLE32/32-7/32-7-11.HTM   (1468 words)

 Perimeters and Areas
A common way to measure area, or the space covered by a region, is to tessellate it with a fundamental region, often using a grid, count the number of such regions used, (in whole or in part), then multiply by the area of each fundamental region to obtain the area.
The area of the union of two nonoverlapping regions is the sum of the areas of the two regions.
A segment of a circle is the region between an arc and a chord of a circle.
www.andrews.edu /~calkins/math/webtexts/geom08.htm   (2765 words)

 Dividing a circle into areas   (Site not responding. Last check: 2007-10-21)
It will later be useful to know what happens to a set of areas already divided by k lines when you run another line from one end to the other, crossing k lines (see the example, where k = 2).
This is complicated, because if the k lines intersect each other then we could chose to insert the new line in such a way that it hits the intersection point, resulting in fewer new areas being generated by the division.
This will be an inductive proof, providing a formula for f(n) in terms of f(n − 1).
www.sciencedaily.com /encyclopedia/dividing_a_circle_into_areas   (642 words)

 All about Nautical Charts   (Site not responding. Last check: 2007-10-21)
Even as a recreational boater, you should always carry onboard charts of the area in which you are operating and you should know how to read them.
The update cycle for nautical charts is as often as every 6 months or as infrequently as 12 years for remote areas.
Statute miles are used for inland areas such as the Intracoastal Waterway and the Great Lakes.
great-circle.com /navigation/charts.htm   (1123 words)

 Dividing Lines and Areas Equally
angle may be divided into equal parts in the same
your circle, using the angles of the square as a
of the circle you are drawing on the string, and
www.tpub.com /engbas/5-27.htm   (447 words)

 STANDING - Online Information article about STANDING
Let C be a point whose ordinates are x and y, and let the river at C have the breadth b, the slope i, and the velocity v.
angere, to compress into a bend or to strangle, and the Gr.
main channel extends seaward the resistance in- should be noted whenever the velocity is observed, as the velocity creases both from the greater length of the channel and the formation and area of cross section are different in differest states of the river.
encyclopedia.jrank.org /SOU_STE/STANDING.html   (8091 words)

 Psychology Details, Meaning Psychology Article and Explanation Guide
Behaviourism was the dominant model in psychology for much of the early 20th century, largely due to the creation and successful application (not least of which in advertising) of conditioning theories as scientific models of human behaviour.
With the increasing involvement of other disciplines (such as philosophy, computer science and neuroscience) in the quest to understand the mind, the umbrella discipline of cognitive science has been created as a means of focusing such efforts in a constructive way.
The divisions are largely arbitrary and overlapping (although they may have been formalised into areas of interest by psychological societies or regulatory bodies) and most psychologists will use methods from each area as appropriate, even if they mostly focus on one area of interest in their work.
www.e-paranoids.com /p/ps/psychology.html   (2622 words)

 Articles - Academia   (Site not responding. Last check: 2007-10-21)
Academia is usually conceived of as divided into disciplines or fields of study.
Plato later further developed his sessions into a method of teaching philosophy and in 387 BC, established what is known today as the Old Academy.
Robert Hooke, the chief experimenter of the Royal Society, emptied the Duke's vial into a circle on a table and dropped a spider in the centre of the circle.
www.poncier.com /articles/Academia   (3743 words)

 Calculating Pi
We slice up a circle like a pie and rearrange the sectors to form a figure that is roughly a rectangle.
Since the rectangle has the same area as the circle, the length times the height is
by calculating the areas of a circle using inscribed and circumscribed regular polygons.
documents.wolfram.com /v4/GettingStarted/CalculatingPi.html   (613 words)

 Circle Pines Center Pine Needles
Circle Pines Center is a not-for-profit education and recreation cooperative that has been a part of the Barry County community for the past 62 years.
Circle Piner Sam Lerman, who was a member of the "Circle Pines 80" as well, recently passed away.
Circle Pines currently has annual dues of $50/year (with student or low income dues rate set at $25, and a sustaining member category for those who can give $100 dues).
www.circlepinescenter.org /pineneedles/sum01.htm   (2848 words)

 Crack.html   (Site not responding. Last check: 2007-10-21)
Some people were undergoing narrow, well bounded changes, while others were being plunged into extensive changes; some were only mildly dissatisfied with their current situations, while others were in the midst of emotional upheavals; some felt good, while others felt lousy.
Relative investments in the areas of career, family, self, and interpersonal relationships were measured by simply dividing a circle into four areas.
The turmoil of being in crisis seems to temporarily undermine the trend to inner directedness and there is a return to the relatively strong outer directed tendencies of the Stable group.
webserver.lemoyne.edu /~oconnor/crack.html   (4800 words)

 "MOUNTAIN PROTECTED AREAS UPDATE" -Mtn-Forum On-Line Library Document
Each protected area has gone singly about the mission of management and interpretation, but there is now being created an effort to interpret the natural and cultural features as a single unit.
The core area is managed by the Commission of Natural Monuments and the rest of the park by three different bodies, with the main role belonging to foresters.
In the case of NSW many protected areas are fortuitously found along the Great Escarpment and there are also many areas of publicly owned lands managed for forestry production and water supply catchments.
www.mtnforum.org /resources/library/hamil96d.htm   (3766 words)

 DELTAKONCEPTET - Fysikaliska hypoteser och teorier   (Site not responding. Last check: 2007-10-21)
C² which is equivalent to four circle areas with the radius C. +k = µ
This is achieved by dividing the four circle areas into two equal parts.
C², which is equivalent to a positive ½-sphere with the radius C, C², which is equivalent to a negative ½- sphere with the radius C. Characteristic for these interacting and balanced complementary ½-spheres is the fact that they, through the transformation, now have got the relation C to the atom.
www.maticweb.com /eng/naturkonstanter.html   (408 words)

 Optimal determination of areas to which trucks should be dispatched - INFORMS Online Discussion
I have to dispatch trucks to areas in NJ such that a truck travels the minimum distance to his area and within his area.
The problem is really determining the areas or the boundaries of the areas.
It will compute travel times as well as trade areas, which is what I think your problem becomes when made generic.
www.informs.org /ubb/Forum1/HTML/000254.html   (668 words)

 [No title]   (Site not responding. Last check: 2007-10-21)
Other sites are represented either with a small triangle for a secondary site with moderate evidence of occupation or a small circle for a site that had only scant occupation debris.
The large circles are areas nearest the more important sites; judging by the large amount of riverine area within these, the camps seem to be placed in areas of prime vicuna habitat.
Note that each of the areas thus defined includes either a full river drainage, or a significant segment of one, and the dividing lines themselves fall very close to the watershed boundaries.
www.stanford.edu /~johnrick/preceram/maps.html   (209 words)

 The Communication Circle: Articles on Complex Documentation: Editing the Web
This review shocked the team into reconsidering its working methods, because the lack of coordination was clearly leading to bumps in the road for the user.
Text is made concise by dividing it into small units so that each screen contains one complete thought and relates clearly to other units on other pages.
However, rules regarding the handling in print of tables, figures, and references may need modification, since a table on a website may provide a page's structure, figures are usually the dominant feature of any web page, and references may be handled by a link directly to the cited source.
www.theprices.com /4artTW1.htm   (6047 words)

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