what is the mathematical definition for area?
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Area is the quantity that expresses the extent of a two-dimensional figure or shape or planar lamina, in the plane. ... In mathematics, the unit square is defined to have area one, and the area of any other shape or surface is a dimensionless real number.
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Curved surface area or lateral surface area is the area of the curved surface on these. Total surface area is the sum of curved surface area and the flat surfaces like base of a cylinder, base of a cone or base circular disc of a hemisphere.
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Surface area is the sum of the areas of all the faces of the solid figure. It is measured in square units. Volume is the number of cubic units that make up a solid figure.
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Given a rectangle with length l and width w, the formula for the area is: ... That is, the area of the rectangle is the length multiplied by the width. As a special case, as l = w in the case of a square, the area of a square with side length s is given by the formula: A = s2 (square).
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Area is 2-dimensional: it has a length and a width. Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.
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Area and volume are NOT interchangeable. Area refers to the two-dimensional surface measurement of an object while volume refers to the three-dimensional spacial measurement of an object. Units will always be squared for area while units will always be cubed for volume.
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The area of a rectangle is determined by multiplying its length times its width. The area of a circle is Pi (i.e., 3.14) times the square of the radius. Find the area of the shaded region by subtracting the area of the small shape from the area of the larger shape.
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The lateral surface of an object is all of the sides of the object, excluding its base and top (when they exist). The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.
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In short, an area can be defined as: smaller functional units in an ASP.NET MVC project with its own set of controllers, views, and models. ... An MVC application can have any number of Areas. Each Area has its own controllers, models, and views. Physically, Areas are put under separate folders.
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Calculate your area Measure the length of your space. Measure the width of your space. Multiply the length by the width to calculate the area in square metres.
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In other words, the area of a rectangle is the product of its length and width. That is, A = l x w where l is the length and w is the width of the rectangle. For example, the area of a rectangle of length 35 m and width 25 m is 35 times 25 or 875 square meters.
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Difference Between Area and Surface Area. The area is the measurement of the size of flat-surface in a plane (two-dimensional) whereas surface area is the measurement of the exposed surface of a solid shape (three-dimensional).
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As nouns the difference between area and location is that area is (mathematics) a measure of the extent of a surface; it is measured in square units while location is a particular point or place in physical space.
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Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. ... We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
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Square footage is a measurement of area, and area is the measurement of any two-dimensional space contained within a set of lines. Think of it in the sense of a dance floor. Take a moment to imagine a dance floor that is 20 feet by 20 feet (6.09 meters by 6.09 meters).
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The volume is always defined for a three-dimensional object. Area is the amount of space occupied by a two dimensional flat object in a plane. Volume is defined as the space occupied by the three-dimensional. It is always measured in square units.
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The area equal to a square that is 1 meter on each side. Used for measuring areas of rooms, houses, blocks of land, etc. Example: A typical car parking space is about 12 square meters.