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Topic: Area (geometry)

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	Area Formulas (Site not responding. Last check: 2007-10-19)
		The area of a figure is the number of squares required to cover it completely, like tiles on a floor.
		If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches.
		The area of a rectangle is the length on the side times the width.
	www.math.com /tables/geometry/areas.htm (188 words)

	Area of a Triangle
		The area of a polygon is the number of square units inside that polygon.
		For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.
		The area of a triangular-shaped rug is 12 square yards and the height is 3 yards.
	www.mathgoodies.com /lessons/vol1/area_triangle.html (520 words)

	Area (geometry) - Wikipedia, the free encyclopedia
		Area is a quantity expressing the size of a figure in the Euclidean plane or on a 2-dimensional surface.
		The area of the unit square is equal to one.
		the area between the graphs of two functions is equal to the integral of one function, f(x), minus the integral of the other function, g(x).
	en.wikipedia.org /wiki/Area_(geometry) (740 words)

	Area and perimeter
		The area of a parallelogram is b × h, where b is the length of the base of the parallelogram, and h is the corresponding height.
		The figure formed is a parallelogram having an area of h × (a + b), which is twice the area of one of the trapezoids.
		The area of the triangle is 1/2 × b × h.
	www.mathleague.com /help/geometry/area.htm (867 words)

	Area
		The area of a geometric plane figure such as a polygon is the measure of the number of square units the object or plane figure is made up of.
		To find the area of a square and/or a rectangle, simply multiply the number of units in the length times the number of units in the width.
		The area of a triangle is 1/2 the length times the height of the triangle.
	www.mcwdn.org /Geometry/Area.html (308 words)

	Surface Area Formulas (Site not responding. Last check: 2007-10-19)
		In general, the surface area is the sum of all the areas of all the shapes that cover the surface of the object.
		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 bc, and there are two of them, so the surface area* of those two is 2bc.
	www.math.com /tables/geometry/surfareas.htm (565 words)

	Geometry Calculators
		Geometric Calculators -- Calculate the circumference and area of a circle, surface area and volume of a cone, and surface area and volume of a sphere.
		Circle, Sphere and Cylinder Calculator -- Calculate the circumference and area of a circle, the surface area and volume of a sphere, and surface areas and volume of a cylinder.
		Geometry -- A geometry text covering points, lines, planes, angles, postulates and theorems, unions and intersections, formulas, constructions, etc. Contains sample problems and a comprehensive glossary.
	www.ifigure.com /math/geometry/geometry.htm (494 words)

	Area -- from Wolfram MathWorld
		The area of a surface or lamina is the amount of material needed to "cover" it completely.
		The area of a surface or collection of surfaces bounding a solid is called, not surprisingly, the surface area.
		Since this formula gives the signed area, the areas of curves with self-intersections, such as the fish curve, must be computed as a sum of absolute values of the areas of their components.
	mathworld.wolfram.com /Area.html (226 words)

	Java Gallery: Hyperbolic Triangles (Site not responding. Last check: 2007-10-19)
		One of the most surprising facts in hyperbolic geometry is that there is an upper limit to the possible area a triangle can have, even though there is not an upper limit to the lengths of the sides of the triangle.
		In hyperbolic geometry, the sum of the angles of a triangle is always less than 180 degrees (PI radians).
		Therefore, the area of a triangle in hyperbolic geometry is:
	www.geom.uiuc.edu /java/triangle-area (275 words)

	Geometry Worksheets
		Area of a parallelogram (lengths are whole numbers)
		Area of a circle (graphics; lengths are whole numbers)
		Area of a circle (lengths are whole numbers)
	www.edhelper.com /geometry.htm (286 words)

	GEOMETRY, Vocational Math 1 (Math 804-379) Textbook, Madison Area Technical College
		Since the area of the two figures must be the same we conclude that the square of the hypotenuse is the sum of the squares of the legs, or in symbols c
		Since the area of the original triangle is half of the area of this parallelogram, we arrive at the result that the area of a triangle is given by
		To calculate the area, we could add the area of the two right triangles that form the sides of the trapezoid to the area of the 8 cm by 6 cm central rectangle.
	matcmadison.edu /is/as/math/kmirus/Textbooks/804379Text/Geometry.html (3021 words)

	NonEuclid: Area (Site not responding. Last check: 2007-10-19)
		In Euclidean Geometry, the area of a triangle is calculated by multiplying the length of any side times the corresponding height, and dividing the product by two (A=½bh).
		Recall that in spite of the fact that objects appear to shrink and flatten, the length of all sides, and the measure of all the angles remains constant as an object moves.
		It could be argued that the area of a polygon would have to be bounded as follows: lets say that you constructed a polygon a defect of 200°.
	cs.unm.edu /~joel/NonEuclid/area.html (1140 words)

	Geometry: Area - Math for Morons Like Us
		The area A of any square is equal to the square of the length s of a side.
		The area A of any sector with an arc that has degree measure n and with radius r is equal to the product of the arc's measure divided by 360 multiplied by PI times the square of the radius.
		The area A of any regular polygon with perimeter P and apothem of measure a is equal to one-half the product of the perimeter and the apothem.
	library.thinkquest.org /20991/geo/area.html (340 words)

	Area (Site not responding. Last check: 2007-10-19)
		The article area (geometry) is more mathematical.'' Area is a quantity expressing the size of a region of space.
		Surface area refers to the summation of the areas of the exposed sides of an object.
		Units for measuring Surface Area include: :square metre = SI derived unit :are = 100 square metres :hectare = 10,000 square metres :square kilometre = 1,000,000 square metres :square megametre = 10
	area.iqnaut.net (299 words)

	Glencoe Mathematics - Online Study Tools
		Find the length of a rectangle whose area is 36 square inches and whose width is 4 inches.
		Find the area of a parallelogram with a base of 6 centimeters and a height of 8 centimeters.
		Find the area of a parallelogram with a base of 5 meters and a height of 3 meters.
	www.glencoe.com /sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-02-833051-X&chapter=1&lesson=7 (71 words)

	Area of Triangles and Polygons (2D & 3D)
		Computing the area of a planar polygon is a basic geometry calculation and can be found in many introductory texts.
		This computation gives a signed area for a polygon; and, similar to the signed area of a triangle, is positive when the vertices are oriented counterclockwise around the polygon, and negative when oriented clockwise.
		Thus, the 3D planar area can be recovered by a single extra multiplication, and in total this algorithm uses n+5 multiplications, 2n+1 additions, 1 square root (when n is not a unit normal), plus a small overhead choosing the coordinate to ignore.
	geometryalgorithms.com /Archive/algorithm_0101/algorithm_0101.htm (2621 words)

	SparkNotes: Geometric Measurements: Area of Circles
		A circle sector's area in relation to the area of the whole circle is much like that between an arc and the circumference.
		The area of a segment equals the area of the sector containing it minus the area of the triangle within the sector.
		Perimeter and area provide a great help in this endeavor; with an understanding of perimeter and area, the good mathematician can look at certain existing conditions and deduce that two figures with the same area must be congruent.
	www.sparknotes.com /math/geometry2/measurements/section7.rhtml (295 words)

	Area - Wikipedia, the free encyclopedia
		This article explains the meaning of area as a physical quantity.
		Old European area units, still in used in some private matters (e.g.
		* A disk is the area enclosed in a circle.
	en.wikipedia.org /wiki/Area (282 words)

	THE SURFACE AREA TO VOLUME RATIO (Site not responding. Last check: 2007-10-19)
		The surface area to volume ratio is a way of expressing the relationship between these parameters as an organism's size changes.
		For cubes smaller than this, surface area is greater relative to volume than it is in larger cubes (where volume is greater relative to surface area).
		Many organisms have developed structures that actually increase their surface area: the leaves on trees, the microvilli on the lining of the small intestine, root hairs and capillaries, and the convoluted walls of arteries, to name but a few.
	www.tiem.utk.edu /~gross/bioed/bealsmodules/area_volume.html (860 words)

	EGYPTIAN GEOMETRY - Mathematicians of the African Diaspora
		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.
		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.
		The area is 8 multiplied by 8, or 64 setat.
	www.math.buffalo.edu /mad/Ancient-Africa/mad_ancient_egypt_geometry.html (402 words)

	Geometry Word Problems
		The total surface area of the tank will be the sum of the surface areas of the side (the cylindrical part) and of the ends.
		Since the dimensions were given in terms of feet, then the area is in terms of square feet.
		The basic formulae you should know include the formulae for the area and perimeter/circumference of squares, rectangles, triangles, and circles, and the surface areas and volumes of cubes, rectangular solids, spheres, and cylinders.
	www.purplemath.com /modules/perimetr.htm (557 words)

	Geometry Solution (Site not responding. Last check: 2007-10-19)
		Geometry Solutions is a sophisticated calculator that calculates the perimeter, lateral and surface areas, and volume of plane and solid geometric figures.
		The formulas used to calculate the perimeter and area of each kind of geometric figure is also given.
		Geometry Solutions and geometric formulas when used together will strengthen your knowledge and abilities in geometry.
	www.gomath.com /geometrycal.html (159 words)

	Sites to use to practice skills needed on the Geometry end of course assessment
		Geometry from the Land of the Incas - Problems, theorems, proofs, quizzes and more
		determine the perimeter or area of a triangle or rectangle when the dimensions are given as binomials in one variable
		Areas of Triangles, Trapezoids, and Kites - discover or demonstrate the formulas for the areas of triangles, trapezoids, and kites.
	www.internet4classrooms.com /eoc_geometry.htm (2058 words)

	Perimeter and Area
		The goal of this unit is to teach concepts on perimeter and area of polygons.
		To find the area of squares and rectangles using the proper formulas.
		To find the area of various types of triangles using the proper formula.
	www.mathgoodies.com /lessons/toc_vol1.html (207 words)

	Area of Parallelogram
		The area of a parallelogram equals the product of one of its sides times the distance between that side and its parallel (and equal) mate.
		We may then agree to consider the signed areas, ascribing negative areas to the clockwise oriented shapes.
		The area of each then is half that of the parallelogram.
	www.cut-the-knot.org /Curriculum/Geometry/AreaOfParallelogram.shtml (464 words)

	rec.puzzles Archive (geometry), part 13 of 35
		The areas of the smaller triangles are ax/2, bx/2, and cx/2.
		The radius of the circle of intersection on the sphere is radius = srqt(3^2 - h^2) so the area is pi * (3^2 - h^2) For the ring, once again we are looking at the area between two concentric circles.
		So the area of the inner circle is pi * (R^2 - 3^2) the area of the doughnut is therefore pi(R^2 - h^2) - pi(R^2 - 3^2) = pi (R^2 - h^2 - R^2 + 3^2) = pi (3^2 - h^2) Therefore the areas are the same for every plane intersecting the solids.
	www.faqs.org /faqs/puzzles/archive/geometry/part1 (7946 words)

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