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
Diameter of inner circle
S=π(R2-r2)
=π(D2-d2)/4
Major axis of ellipse d
D- minor axis
S=πDd/4
2. The volume of three-dimensional graphics
Length of a side of cube
S=6a？
V=a？
Length of cuboid a
B width
C height adjustment
S=2(ab+ac+bc)
V=abc
Bottom area of prism s
up level
V=Sh
The base area of the pyramid
up level
V=Sh/3
Prisms S 1 and S2- upper and lower bottom areas
up level
v = h[s 1+S2+√(s 1s 1)]/3
Prisma toid s 1- Upper bottom area
S2- bottom area
S0- Cross-sectional area
up level
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
=πr？ h
R-the radius of the outer circle of the hollow cylinder.
R- radius of inner circle
up level
V=πh(R？ -r？ )
Radius of base circle of r- straight cone
up level
V=πr？ h/3
Cone r- upper bottom radius
R- bottom radius
up level
V=πh(R？ +Rr+r？ )/3
Sphere radius
diameter
V=4/3πr？ =πd？ /6
Ball missing h- ball missing height
R sphere radius
A- the radius of the missing bottom of the ball
V=πh(3a？ +h？ )/6
=πh？ (3r-h)/3
Answer? =h(2r-h)
Table r 1 and R2- the radius of the top and bottom of the table.
up level
V=πh[3(r 1？ +r2？ )+h？ ]/6
Circle radius
D-ring diameter
R-ring section radius
D- ring section diameter
V=2π？ Rr？
=π? Dd？ /4
Barrel D- the diameter of the belly of the barrel
D- barrel bottom diameter
H- barrel height v = π h (2d? +d？ )/ 12
(The bus is circular, and the center of the circle is the center of the bucket)
V=πh(2D？ +Dd+3d？ /4)/ 15
(The bus is a parabola)
Reference:
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