Formula sheet

The formulas you need again and again — collected so they can be printed. Press «Calculate» next to a group to try the formulas out.

Area and perimeter

A = l · b: Rectangle
A = s²: Square
A = ½ · g · h: Triangle
A = g · h: Parallelogram
A = ½ · (a + b) · h: Trapezoid
A = π · r²: Circle
O = 2 · π · r = π · d: Circumference of the circle

Volume and surface area

V = l · b · h: Box
V = G · h: Prism and cylinder (G = area of the base)
V = π · r² · h: Cylinder
V = ⅓ · G · h: Pyramid and cone
V = ⁴⁄₃ · π · r³: Sphere
O = 4 · π · r²: Surface area of the sphere

Triangles

a² + b² = c²: Pythagoras (right triangle)
A + B + C = 180°: The angle sum of a triangle
sin A = a / c: Opposite leg / hypotenuse
cos A = b / c: Adjacent leg / hypotenuse
tan A = a / b: Opposite / adjacent leg

Percentages and interest

del = p/100 · helhed: p per cent of a number
p = del / helhed · 100: How many per cent
(ny − gammel) / gammel · 100: Percentage change
K = K₀ · (1 + r)ⁿ: Compound interest

Equations and functions

y = a · x + b: Linear function: a is the slope, b the y-intercept
a = (y₂ − y₁) / (x₂ − x₁): Slope through two points
d = b² − 4ac: The discriminant
x = (−b ± √d) / (2a): The solutions to ax² + bx + c = 0

Measurements and units

1 m = 10 dm = 100 cm = 1.000 mm: Length
1 m² = 100 dm² = 10.000 cm²: Area
1 m³ = 1.000 dm³ = 1.000 l: Volume
1 l = 10 dl = 100 cl = 1.000 ml: Litre
s = v · t: Distance = speed · time
km/t = m/s · 3,6: Speed

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