2D shapes
| Shape | Area | Perimeter |
|---|---|---|
| Square (side s) | s² | 4s |
| Rectangle (w × h) | w · h | 2(w + h) |
| Triangle (b, h) | ½ b · h | a + b + c |
| Equilateral triangle (s) | (√3 / 4) s² | 3s |
| Circle (r) | π r² | 2π r |
| Ellipse (a, b) | π a b | ≈ π[3(a+b) − √((3a+b)(a+3b))] |
| Parallelogram (b, h) | b · h | 2(a + b) |
| Trapezoid (a, b, h) | ½ (a + b) h | a + b + c + d |
| Regular n-gon (n, s) | (n s² / 4) cot(π/n) | n · s |
| Circular sector (r, θ rad) | ½ r² θ | r(2 + θ) |
3D shapes
| Solid | Volume | Surface area |
|---|---|---|
| Cube (s) | s³ | 6s² |
| Rectangular box (w, h, d) | w h d | 2(wh + hd + wd) |
| Sphere (r) | (4/3) π r³ | 4π r² |
| Cylinder (r, h) | π r² h | 2π r (r + h) |
| Cone (r, h) | (1/3) π r² h | π r (r + √(r² + h²)) |
| Pyramid (base A, h) | (1/3) A h | A + ½ · perim · slant |
| Torus (R, r) | 2π² R r² | 4π² R r |
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