Traditional Culture Encyclopedia - Traditional festivals - Does anyone know the formula for calculating the area and volume of all regular figures in plane geometry and solid geometry? ,,, Be comprehensive and accurate.
Does anyone know the formula for calculating the area and volume of all regular figures in plane geometry and solid geometry? ,,, Be comprehensive and accurate.
The circumference of a rectangle = (length+width) ×2
Circumference of a square = side length ×4
Area of rectangle = length × width
Area of a square = side length × side length
Area of triangle = base × height ÷2
Area of parallelogram = base × height
Trapezoidal area = (upper bottom+lower bottom) × height ÷2
Diameter = Radius ×2 Radius = Diameter ÷2
Circumference = π× diameter =
Pi× radius× 2
Area of circle = π× radius× radius
Surface area of cuboid =
(length× width+length× height+width× height) ×2
Cuboid volume = length × width × height
Surface area of cube = side length × side length ×6
Volume of cube = side length × side length × side length
Lateral area of cylinder = perimeter of bottom circle × height.
Surface area of cylinder = upper and lower bottom area+side area.
Volume of cylinder = bottom area × height
Volume of cone = bottom area × height ÷3
Cuboid (cube, cylinder)
Volume = bottom area × height
plane graph
Name symbol perimeter c and area s
The length of side a of a square is c = 4a.
S=a2
The length of a side and b side of a rectangle is c = 2 (a+b).
S=ab
The length of three sides of triangle A, B and c-
Height of h-a edge
Half the circumference
A, b, c- internal angle
Where s = (a+b+c)/2s = ah/2.
=ab/2 sinC
=[s(s-a)(s-b)(s-c)] 1/2
=a2sinBsinC/(2sinA)
Quadrilateral d, d- diagonal length
α diagonal angle s = DD/2 sin α
Length of a and b sides of parallelogram
Height of h-a side
α-included angle between two sides s = ah
=absinα
A-side length of diamond
α-included angle
D- long diagonal length
D- short diagonal length s = DD/2
=a2sinα
Trapezoids a and b- length of upper and lower bottoms
up level
M- centerline length s = (a+b) h/2
=mh
radius of a circle
D- diameter c = π d = 2π r
S=πr2
=πd2/4
Sector r- sector radius
Degree of central angle
C=2r+2πr×(a/360)
S=πr2×(a/360)
Bow l- arc length
B chord length
H vector height
R radius
The degree of α-central angle S = R2/2 (π α/ 180-sin α)
= r2arccos[(r-h)/r]-(r-h)(2rh-H2) 1/2
=παR2/360-b/2[R2-(b/2)2] 1/2
=r(l-b)/2 + bh/2
≈2bh/3
Ring r- excircle radius
R- radius of inner circle
D- cylinder diameter
D- diameter of inner circle s = π (R2-R2)
=π(D2-d2)/4
Major axis of ellipse d
D- minor axis s = π DD/4
Cubic figure
Naming symbols area s and volume v
The side length of cube a is s = 6a2.
V=a3
Length of cuboid a
B width
C- height s = 2 (AB+AC+BC)
V=abc
Bottom area of prism s
H- height v = sh
The base area of the pyramid
H- height v = sh/3
Prisms S 1 and S2- upper and lower bottom areas
H- height v = h [s1+S2+(s1s1)1/2]/3.
Prisma toid s 1- Upper bottom area
S2- bottom area
S0- Cross-sectional area
H- height v = h (s 1+S2+4s0)/6.
R- base circle radius of cylinder
up level
Bottom circumference
S- bottom area
S-side-lateral area
S table-surface area c = 2π r
S bottom = π R2
S side = ch
S table = ch+2s bottom
V = s bottom h
=πr2h
R-the radius of the outer circle of the hollow cylinder.
R- radius of inner circle
H- height v = π h (R2-R2)
Radius of base circle of r- straight cone
H- height v = π r2h/3
Cone r- upper bottom radius
R- bottom radius
H- height v = π h (R2+RR+R2)/3
Sphere radius
Diameter v = 4/3 π R3 = π D2/6
Ball missing h- ball missing height
R sphere radius
A—— Radius of ball bottom v = π h (3a2+H2)/6.
=πh2(3r-h)/3
a2=h(2r-h)
Table r 1 and R2- the radius of the top and bottom of the table.
H- height v = π h [3 (r 12+R22)+H2]/6.
Circle radius
D-ring diameter
R-ring section radius
D-ring cross-sectional diameter v = 2π 2rr2
=π2Dd2/4
Barrel D- the diameter of the belly of the barrel
D- barrel bottom diameter
H- barrel height v = π h (2d2+D2)/ 12
(The bus is circular, and the center of the circle is the center of the bucket)
V=πh(2D2+Dd+3d2/4)/ 15
(The bus is a parabola)
- Previous article:Teacher Qin Shuyuan's contact information
- Next article:I wrote 200 words about my delicious food.
- Related articles
- Traditional enterprises 20 18
- Can you tell the story of two loyal and filial figures in ancient times?
- Who are the top 5 point guards in NBA?
- What is the price of Chaozhou Fortune Center?
- Work summary of finished product warehouse
- Down pillow how to become fluffy
- Slingshot of cold weapons in special forces
- Beijing is famous, but there are still several big hotpot restaurants.
- What are the main contents of pasta training and where can I learn it?
- The main difference between the civil service system and the former cadre personnel system