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1. Formula for the perimeter and area of a rectangle and square.
Circumference of the rectangle = (length + width) 2 c = (a+b) 2 circumference of the square = side length 4 c = 4a
Area of the rectangle = length and width s=ab
Area of the square = side length side length s=a·a= a 2, triangle, parallelogram.
Area formula for trapezoid:
The area of the triangle = base height 2 s=ah 2
Area of the parallelogram = base height s=ah
The area of the trapezoid = (upper bottom + lower bottom) height 2
s=(a+b)h÷2
3. Formula for the circumference and area of a circle:
The circumference of the circle is the diameter
Formula: l d 2 r
The area of the circle. Radius Radius
Formula: s r
4. Formula for the side area and surface area of the cylinder:
Side area of the cylinder:
The side area of the cylinder is equal to the circumference of the base surface multiplied by the height.
Formula: s=ch= dh2rh
Surface area of the cylinder:
The surface area of a cylinder is equal to the circumference of the base multiplied by the height plus the area of the circle at both ends.
Formula: s=ch+2s=ch+2 r
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The formula for the perimeter and area of different shapes is different.
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The formula for perimeter and area is c=2 r=d, and the integral of the length around the edge of the area around a finite area is called the perimeter, which is the length of the circle of the graph. The length of the perimeter of the polygon is also equal to the sum of all sides of the figure, the perimeter of the circle = d = 2 r, the perimeter of the fan = 2r + n r 180 (n = the angle of the center of the circle) = 2r + kr.
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).
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.
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The formula for circumference is that pi is multiplied by twice the radius. Whereas, the area formula is the square of pi multiplied by the radius.
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The area formula for the rectangle is length times width, the perimeter formula is length widened and then multiplied by 2, and the perimeter of the square is the side length multiplied by 4 The area formula is the side length multiplied by the side length.
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It depends on what kind of figure it is, and different geometries have different formulas for their perimeter and area.
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CircumferenceArea formulais the circumference of the rectangle = (length and width) 2。The circumference of the square = side length 4, and the circumference of the (emphasized) circle = pi.
Diameter = 2 Pi radius, area of triangle = base height 2 s=ah 2, area of parallelogram = base height s=ah, area of trapezoidal = (upper base + lower bottom) height 2.
Formula summaryMathematical formulas. It is an expression method that people find some connections between things in nature and express them in a certain way. It is the equal or unequal connection between the number of different things in nature, it accurately reflects the relationship between the inside and outside of things, and is the basis for us to reach another thing from one thing, so that we can better understand the essence and connotation of things.
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The perimeter area formula is:1. Perimeter formula.
1.Circumference of the rectangle = (length and width) 2.
2.Circumference of the square = side length 4.
3.(emphasize) circumference of the circle = pi diameter = 2 pi radius.
2. Area formula.
1.Area of the rectangle = length and width.
2.The area of the square = the length of the side The length of the side.
3.Area of the triangle = base height 2.
4.Area of the parallelogram = base height.
5.The area of the trapezoid = (upper bottom + lower bottom) height 2
6.Area of the circle = pi radius 2.
7.Side area of the cylinder: The side area of the cylinder is equal to the circumference of the bottom surface multiplied by the height.
8.Surface area of the cylinder: Surface area of the cylinder = bottom area and side area.
Definition of areaArea can be understood as the amount of material with a given thickness, the area is necessary to form a model of shape, or the amount of paint required to cover a surface with a single coat. It is a two-dimensional simulation of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).
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.
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1 square.
c perimeter s area a side length.
Circumference Side length 4
c = 4a area = side length side length.
s=a a2 is a hole in the cube.
v: volume a: edge length.
Surface area = edge length Ridge length 6
S table = a a 6
Volume = edge length edge length edge length.
v=a×a×a
3 rectangles.
c perimeter s area a side length.
Circumference = (length + width) 2
c=2(a+b)
Area = length and width.
s=ab4 box.
V: Volume S: Area A: Length B: Width H: Height.
1) Surface area (length and width + length and height + width and height) 2
s=2(ab+ah+bh)
2) Volume = length, width and height.
v=abh5 triangle.
S area A bottom H height.
Area = base height 2
s=ah÷2
Triangle height = area 2 bases.
Triangular base = area 2 high.
6 Parallelogram.
S area A bottom H height.
Area = base height.
s=ah7 trapezoidal.
S area: A, upper bottom, b, lower bottom, H high.
Area = (top bottom + bottom bottom) height 2
s=(a+b)× h÷2
8 Round. s area c perimeter d = diameter r = radius.
1) Circumference = Diameter = 2 Radius.
c=∏d=2∏r
2) Area = Radius Radius
9 Cylinders.
V: Volume h: High S; Base area r: Bottom radius c: Bottom perimeter.
1) Side area = bottom selling messy dry surface circumference height.
2) Surface area = side area + bottom area 2
3) Volume = base area high.
4) Volume side area 2 radius.
10 round cones.
V: Volume h: High S; Base area r: Radius of the base surface.
Volume = Base area height 3
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Let me help you summarize the area formula.
Rectangle circumference = (length + width) 2 c = 2 (a + b) square perimeter = side length 4 c = 4a
Circumference of the circle = pi Diameter c = d c = 2 r circumference of the semicircle = half of the circumference of the circle + diameter r + d
Area formula: rectangular area = length and width s=ab
Square area = side length side length s=a2
Parallelogram area = base height s=ah
Triangle area = base height 2 s=ah 2
Trapezoidal area = (top bottom + bottom bottom) height 2 s = (a+b)h 2 area of the circle = pi square of the radius s = r2
The side area of the cylinder = the circumference of the bottom surface and the height s=ch
Surface area formula: cuboid surface area = (length and width + length and height + width and height) 2s = (ab + ah + bh) 2
Cube surface area = side length Side length 6 s=6a2
Cylindrical side area = bottom perimeter height s=c h
Cylinder surface area = side area + bottom area 2 s = s side + 2 s bottom volume formula: cuboid volume = length, width and height v=abh cube volume = edge length edge length edge length v=a3
Cylinder volume = base area height v=sh
Approximately the cuboid is placed horizontally: cylinder volume = half of the side area radius v=ch 2 r=2 r 2 r= r r).
Cone volume = base area height 3 v = sh 3 or 1 3sh
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1.The circumference of the circle c=2 r= d
2.The area of the circle is s= r
3.The arc length of the sector l=n r 180
4.Sector area s=n r 360=rl 2
5.The area of the conical side is = rl
Definition of a circle Geometry says: A figure composed of all points on a plane whose distance from a fixed point to a fixed point is equal to a fixed length is called a circle. The fixed point is called the center of the circle, and the fixed length is called the radius.
The set says: The set of points whose distance to a fixed point is equal to a fixed length is called a circle.
The correlation of circles
Pi: The ratio of the length of the circumference to the length of the diameter of the circle is called pi, and the value is 3 Arc chord: The part between any two points on the circle is called the arc, referred to as the arc.
Arcs larger than semicircles are called superior arcs, and arcs smaller than semicircles are called inferior arcs. A line segment that connects any two points on a circle is called a string. The string that passes through the center of the circle is called the diameter.
Central and circumferential angles: The angle where the vertex is at the center of the circle is called the central angle. The angle where the vertex is on the circumference and each of its sides has another intersection with the circle is called a circumferential angle.
Inner and outer center: The circle that passes through the three vertices of the triangle is called the circumscribed circle of the triangle, and its center is called the outer center of the triangle. The circle tangent to all three sides of the triangle is called the inscribed circle of the triangle, and its center is called the heart.
Sector: On a circle, a figure enclosed by two radii and an arc is called a sector. The side view of the conic is a fan. The radius of this sector becomes the busbar of the cone.
Letters of circles and correlations of circles
Circle—radius—r-arc—diameter—d, sector arc length, conical busbar—l perimeter—c area—s
The positional relationship between circles and other shapes
The positional relationship between the circle and the point: take the point p and the circle o as an example (let p be a point, then po is the distance from the point to the center of the circle), p is outside o, po r; p on o, po r; p in o, po r.
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Circumference: c = 2 r (r radius).
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Answer: A semicircle is half of a circle.
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