The first type: plane graphics
1. triangle
Area = bottom × height ÷2, that is, S=a×h÷2.
Perimeter = sum of three sides, that is, l = a+b+c b+c.
2. circle
Area = π× the square of radius, that is, S = π * R 2 = π * D 2/4 = L 2/4π, (D: diameter, L: circumference).
Circumference = diameter × π, that is, L = 2π r = π d.
3. Fan shape
Area s = n π * r 2/360 = ar 2, (n: central angle of the sector, a: arc system of the central angle of the sector).
Circumference L=nπR/ 180+2R=aR+2R.
4. Square
Area = square of side length, that is, s = a 2.
Perimeter = sum of four sides, that is, L=4a.
5. Rectangular
Area S=ab.
Perimeter l=2(a+b).
6. Parallelogram
Area S=ah=absinx, (A: bottom, H: height, adjacent side of B:A, included angle of X:A and B).
Perimeter L=2(a+b).
7.diamond shape
Area S=ab, (A and B are the lengths of two diagonal lines).
Perimeter L=4x (x is the side length).
8. trapezoid
Area S=(a+b)h/2, (a, b are the upper and lower bottoms, and h is the height).
The area of isosceles trapezoid is S=csinA(a+b)/2, (c is waist and a is acute angle).
9. ring
Area s = (r 2-r 2) π, (r outer circle radius, r inner circle radius).
The second type: three-dimensional graphics
1. ball
Surface area s = 4 * π * r 2.
Volume v = 4 π r 3/3.
2. Cubic
Surface area s = 6a 2.
Volume v = a 3.
3. Cuboid
Surface area S=2(ab+bc+ac).
Volume V=abc.
4. Prism
Volume V=Sh, (s: bottom area, h: height).
Step 5: Cylinder
Surface area s = 2π rh+π r 2, (r: radius of bottom circle, h: side height).
Volume V=Sh (S: bottom area, h: height) = π r 2 h.
6. Cones and pyramids
The surface area of the cone is s = π rh+π r 2, (r: radius of the bottom circle, h: side length).
The volume of cone and pyramid V=Sh/3, (s: base area, h: height).
7. Prism
Let the areas of the top and bottom surfaces of the prism be S 1 and S2, respectively, the height be h, and the volume be v = (1/3) [s1+√ (s1S2)+S2] × h, (√ stands for square root).
8. Cone table
Volume v = [s+s'+√ (SS')] h÷ 3 = π h (R2+RR+R2)/3, (r- upper bottom radius, r- lower bottom radius, h- height).