Current location - Training Enrollment Network - Mathematics courses - Mathematical Formulas Commonly Used Formulas for Geometric Operations
Mathematical Formulas Commonly Used Formulas for Geometric Operations
Standard equation of a circle (note: (a, b) is the coordinate of the center of the circle)

General equation of circle Note:

Parabolic standard equation

Straight prism side area oblique prism side area

Regular pyramid side area Regular prism side area

Surface area of frustum of a cone lateral area ball

Cylindrical side area conical side area

Lateral area of a straight prism S=c*h lateral area of an oblique prism s = c' * h.

Regular pyramid side area Regular prism side area

Surface area of ball

The lateral area of the frustum of a cone is S = 1/2(c+c')l = pi(R+R).

Lateral area of cylinder S=c*h=2π*h lateral area s = 1/2 * c * l = π * r * l of cone.

The arc length formula l=a*r a is the radian number r > of the central angle; 0 sector area formula s= 1/2*l*r

Cone volume formula V= 1/3*S*H cone volume formula

Oblique prism volume V=S'L Note: where s' is the straight cross-sectional area and l is the side length.

Cylinder volume formula V=s*h cylinder v = π * r 2hv: volume h: height s; Bottom area r: bottom radius c: bottom perimeter

(1) Transverse area = bottom circumference × height.

(2) Surface area = lateral area+bottom area ×2

(3) Volume = bottom area × height

(4) volume = lateral area ÷2× radius l=a*r a is the radian number of the sector area formula with the central angle r > 0°.

Cone volume formula

Oblique prism volume V=S'L Note: where s' is the straight cross-sectional area and l is the side length.

Cylinder volume formula V=s*h cylinder rectangular circumference = (length+width) × 2 c = 2 [a+b]

Circumference of a square = side length ×4 c=4a

Area of rectangle = length× width s=ab

Area of a square = side length × side length s=a?

Area of triangle = base × height ÷2

Given that the base of a triangle is a and the height is h, then S=ah/2 parallelogram area = base × height.

Trapezoidal area = (upper bottom+lower bottom) × height ÷2

Diameter =d=2r

Circumference =πd= 2πr

Area of circle = πr?

The surface area of a cuboid = (length× width+width× height+height× length )× 2s = 2 [AB+BC+CA]

Volume of cuboid = length× width× height v=abc

Surface area of cube = side length × side length× ×6 s=6a?

Volume of cube = side length × side length × side length v=a?

Lateral area of cylinder = circumference of bottom circle × height s=ch.

Surface area of cylinder = upper and lower bottom area+side area.

Volume of cylinder = bottom area × height v=sh

Volume of cone = bottom area × height ÷3 v=sh÷3

Cylinder volume = bottom area × perimeter c and area s of high name symbol.

The side length of a square C=4a S=a?

The length of a side and b side of a rectangle C=2(a+b) S=ab.

Triangle a, b, c- has three sides, where s=(a+b+c)/2 S=ah/2.

Height of h-a edge =ab/2×sinC.

Half of the circumference of s =[s(s-a)(s-b)(s-c)] 1/2.

A, b, c- internal angle = a 2sinbsinc/(2sina)