The size of what and what objects are is their area

The size of the surface of an object or the flat figure enclosed by it is called their area.

The area is the size of the flat figure occupied.

The commonly used units of area are square centimeters, square decimeters, and square meters.

1) A square with a side length of 1 cm and an area of 1 square centimeter.

2) A square with a side length of 1 decimeter and an area of 1 square decimeter.

3) A square with a side length of 1 meter and an area of 1 square meter.

Generally large areas are measured in hectares and square kilometers.

1) A square with a side length of 100 meters and an area of 1 hectare.

2) A square with a side length of 1 km and an area of 1 square km.

Common graphical area calculations.

Rectangle: Rectangle area = length and width.

Square: Square area = side length Side length.

Parallelogram: Parallelogram area = base height.

Triangle: Triangle area = base height 2

Trapezoid: trapezoidal area = (upper bottom + lower bottom) height 2

Circle (perfect circle): Circle (perfect circle) area = pi radius radius.

Circle: Circular (outer ring) area = {pi (outer ring radius 2 - inner ring radius 2) Sector: circular (fan) area = pi radius radius Sector angle 360 Box surface area:

Cuboid surface area = (length and width + length and height + width and height) 2 cube surface area: cube surface area = edge length edge length 6 sphere (positive sphere) surface area: sphere (positive sphere) surface area = pi radius radius 4

The size of an object's surface or flat figure is their area.

When the space occupied by an object is a two-dimensional space, the size of the space occupied is called the area of the object, which can be flat or curved. The square meter, square decimeter, square centimeter, is the recognized unit of area, which can be expressed by letters as (m, dm, cm).

Features of geometric area:The standard unit is square meters (square meters) in size and has an area of a square one meter long, and the shape of three square meters will be the same as three such squares. In mathematics, a unit square is defined as having a region of 1, and the area of any other shape or surface is a dimensionless real number.

There are several formulas for simple shapes that are well known, such as triangles, rectangles, and circles. Using these formulas, you can find the area of any polygon by dividing it into triangles. For shapes with curved boundaries, calculus is often required to calculate the area.

In fact, the problem of determining the numerical area of an aircraft is the main motivation for the historical development of calculus.

The place or location where objects are in contact with air is their area. For example, if the 6 faces of a cube are in contact with air, then the 6 faces are the area of the cube, such as the area of a uniform hollow core cylinder, because the inner and outer cylindrical surfaces and the two ends of the torus are in contact with the air, then the place or location of the contact with the air is the area. Wait a minute.

Because we are talking about objects, the area that causes them is the surface area of the whole object, not the area of the enclosed figure. So answer: The place or location where the objects are in contact with the air is their area.

The size of an object's surface or enclosed figure is called their area. The area is the size of the flat figure occupied.

1. The calculation method of the area.

The method of calculating the area is based on the formula of a specific figure in geometry. For example, the area of a rectangle is equal to length multiplied by width, and the area of a circle is equal to the square of the radius multiplied by .

2. Formulas for calculating the area of different figures.

There are different formulas for calculating the area for objects or figures of different shapes. For example, the area of a triangle is equal to the base edge multiplied by height divided by two, and the area of a trapezoid is equal to the sum of the top and bottom base multiplied by height and divided by two.

3. Application of area.

Area is a concept that is often touched upon in many practical problems. For example, in the field of construction, the surface area of walls, floors, ceilings, etc. is measured; In agriculture, the area of a field is measured to determine the number of crops to be planted, and so on.

4. Units of area.

Common units of area include square meters (m), square kilometers (km), square centimeters (cm) and square feet (ft), etc. Choosing the right unit of area can make the calculation more accurate and easier.

In conclusion, area is a common quantity in mathematics, and its calculation method is based on the formula of a specific figure in geometry, which is widely used and involves various fields.

Extended Material:Architecture:

1. Living area.

The living area of a dwelling is the sum of the net living area of the rooms directly used for living in the floor plan of the residential building. The so-called net area is to remove the horizontal area occupied by building components such as walls and columns.

2. The area and usable area of the suite.

The building area in the suite is not the same concept as the usable area, the building area in the suite includes the usable area and the wall area in the suite, you can measure the actual usable area of the house by yourself, which is commonly known as the carpet area.

3. Usable area.

The usable area of a dwelling refers to the sum of the net area directly used by the residents in the floor plan of each floor of the dwelling. The calculation of the usable area of a residential building can more intuitively reflect the use of the residential property, but it is generally not used to calculate the usable area in the purchase and sale of a residential property**.

There are some special rules when calculating the usable area: the indoor staircase in a duplex dwelling is counted as the sum of the area of the natural floors; Chimneys, ventilation ducts, and pipe wells that are not included in the structural area are included in the usable area; The thickness of the interior wall and the decoration of the limbs is included in the usable area.

4. Construction area.

The floor area of a residential building refers to the horizontal area of the space enclosed by the outer wall of the building, and if you want to find the floor area of a high-rise residential building, it is the sum of the floor area of each floor. The calculation of floor area is more complicated, and the following will introduce one separately.

5. The common area of the residence.

The common area of the residential building refers to the sum of the area occupied by the public corridors, stairs, elevator halls, and water tank rooms set up in the residential building for the convenience of residents' access, normal communication, and ensuring their lives.

The size of an object's surface or enclosed figure is called its area.

Further information is as follows:

Area is the size of the surface or closed figure of an object, called their area, and the area is the size of the plane figure occupied, and the area can be flat or curved.

Area is the number of degrees that represent a two-dimensional figure or shape or plane layer in a plane. Surface area is a simulacrum on the two-dimensional surface of a three-dimensional object. Area can be understood as the amount of material with a given thickness, and the area is necessary to form the model of the shape.

Area is a quantity used to represent the area occupied by a surface or plane figure, which can be regarded as a two-dimensional analogy of length (one-dimensional quantity) and volume (three-dimensional quantity), and for three-dimensional graphics, the area of the boundary of the figure is called surface area.

The circle area is based on the basic area formula, assuming that there is a circle with a radius of r, divided into many sectors, the area of that sector will be very close to a triangle, just like the figure above. If you divide them small enough, you can see that the area of a circle with radius r is equal to a parallelogram with a height of r and a base of r.

A parallelogram can be cut into a trapezoid and a right-angled triangle, as shown in the diagram on the right. If the triangle is moved to the other side of the parallel quadrilateral, it can become a rectangle.

The size of an object's surface or flat figure is their area.

Area is a measure of how much of the surface of a plane. The measurement of the surface of a three-dimensional object is generally called the surface area. The concept of "plane figure" in the definition is limited by the definition of "plane" to the connotation of "figure", which makes its extension smaller and not inclusive enough.

For example, for a country, its area is made by a boundary line in a hall of a certain size "enclosed" by the spherical "surface of the object" of the earth, but it is not "flat"; A cylinder whose sides are "flat" only at that time, and whose own state is curved. It can be seen that the area "good fiber is the amount used to measure the size of a piece of area on a plane or surface", it is not limited to "plane shape".

Common area theorem

1. The area of a figure is equal to the sum of the areas of its parts;

2. The area of the two congruent figures is equal;

3. The area of triangles, parallelograms, and trapezoids of equal height (trapezoidal equal bottoms should be understood as the sum of the two bases) is equal;

4. The area ratio of triangles, parallelograms, and trapezoids with equal base (or equal height) is equal to the ratio of their corresponding height (or base);

5. The area ratio of similar triangles is equal to the square of the similarity ratio;

6. The ratio of the area of the triangle of equal angles or complementary angles is equal to the ratio of the product of the two sides of the equal angle or complementary angles; The ratio of the area of an equal-angle parallelogram is equal to the ratio of the product of the two sides of the equal-angled;

7. Any curve can be represented by a function y=f(x), then, the area enclosed by this curve is the integral of x.