calculand - Formula collection, page 1
Unit converter
Quantity converter
Numeral systems
Calculate primes
Convert WARP
Volume formulas
Area formulas
Length formulas
Energy formulas
Force formulas
Pressure formulas
Power formulas
Velocity formulas
Heat formulas
Light formulas
Exponents, roots
Logarithm
Circular functions
Elements and materials
Formula collection
Unit list
Quantity list
Numeral systems list
Impressum/Contact
Area formulas
Annulus
Circle [π·r²] Circle [¼·π·d²]
Circular sector
Circular segment
Cone
Cube
Cuboctahedron
Cuboid
Decagon
Dodecagon [3·(2+√3)·a²] Dodecagon [12·(2-√3)·r²] Dodecagon [3·R²] Dodecagon [3·a²·cot(180°/12)]
Dodecahedron
Ellipse
Event horizon
Heptagon [¼·7·a²·cot(180°/7)] Heptagon [½·7·R²·sin(360°/7)] Heptagon [7·r²·tan(180°/7)]
Hexagon [½·3·√3·a²] Hexagon [3·R·r] Hexagon [2·√3·r²] Hexagon [½·√3·d²] Hexagon [3⁄4·D·d]
Icosagon [5·(1+√5+√(5+2·√5))·a²] Icosagon [½·5·(√5-1)·R²]
Icosahedron
Nonagon [¼·9·a²·cot(180°/9)] Nonagon [½·9·R²·sin(360°/9)] Nonagon [9·r²·tan(180°/9)]
Octagon [(2+2·√2)·a²] Octagon [2·√2·R²] Octagon [8·(√2-1)·r²]
Octahedron
Parallelogram
Pentagon [¼·√(25+10·√5)·a²] Pentagon [¼·5·√((5+√5)/2)·R²]
Permeability
Planck area
Polygon [¼·n·a²·cot(180°/n)] Polygon [n·r²·tan(180°/n)] Polygon [½·n·R²·sin(360°/n)]
Rectangle
Rhombus [½·e·f] Rhombus [2·a·r]
Sphere
Spherical cap
Spheroid [oblate: 2·π·a·(a+c²/√(a²-c²)·arsinh(√(a²-c²)/c))] Spheroid [prolate: 2·π·a·(a+c²/√(c²-a²)·arcsin(√(c²-a²)/c))]
Square
Tetragon [¼·√(4·e²·f²(b²+d²a²-c²))] Tetragon [½·e·f·sinθ]
Tetrahedron
Tetrakis hexahedron
Thomson cross section [⅓·8·π·rₑ²] Thomson cross section [⅙·e⁴/(π·εₒ²·mₑ²·c⁴)] Thomson cross section [⅓·8·π·(α·ħ/(mₑ·c))²]
Torus
Trapezoid
Triangle [½·l·h] Triangle [½·a·b·sinγ] Triangle [√(½·P·(½·P-a)·(½·P-b)·(½·P-c))]
Circle [π·r²] Circle [¼·π·d²]
Circular sector
Circular segment
Cone
Cube
Cuboctahedron
Cuboid
Decagon
Dodecagon [3·(2+√3)·a²] Dodecagon [12·(2-√3)·r²] Dodecagon [3·R²] Dodecagon [3·a²·cot(180°/12)]
Dodecahedron
Ellipse
Event horizon
Heptagon [¼·7·a²·cot(180°/7)] Heptagon [½·7·R²·sin(360°/7)] Heptagon [7·r²·tan(180°/7)]
Hexagon [½·3·√3·a²] Hexagon [3·R·r] Hexagon [2·√3·r²] Hexagon [½·√3·d²] Hexagon [3⁄4·D·d]
Icosagon [5·(1+√5+√(5+2·√5))·a²] Icosagon [½·5·(√5-1)·R²]
Icosahedron
Nonagon [¼·9·a²·cot(180°/9)] Nonagon [½·9·R²·sin(360°/9)] Nonagon [9·r²·tan(180°/9)]
Octagon [(2+2·√2)·a²] Octagon [2·√2·R²] Octagon [8·(√2-1)·r²]
Octahedron
Parallelogram
Pentagon [¼·√(25+10·√5)·a²] Pentagon [¼·5·√((5+√5)/2)·R²]
Permeability
Planck area
Polygon [¼·n·a²·cot(180°/n)] Polygon [n·r²·tan(180°/n)] Polygon [½·n·R²·sin(360°/n)]
Rectangle
Rhombus [½·e·f] Rhombus [2·a·r]
Sphere
Spherical cap
Spheroid [oblate: 2·π·a·(a+c²/√(a²-c²)·arsinh(√(a²-c²)/c))] Spheroid [prolate: 2·π·a·(a+c²/√(c²-a²)·arcsin(√(c²-a²)/c))]
Square
Tetragon [¼·√(4·e²·f²(b²+d²a²-c²))] Tetragon [½·e·f·sinθ]
Tetrahedron
Tetrakis hexahedron
Thomson cross section [⅓·8·π·rₑ²] Thomson cross section [⅙·e⁴/(π·εₒ²·mₑ²·c⁴)] Thomson cross section [⅓·8·π·(α·ħ/(mₑ·c))²]
Torus
Trapezoid
Triangle [½·l·h] Triangle [½·a·b·sinγ] Triangle [√(½·P·(½·P-a)·(½·P-b)·(½·P-c))]