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📋 Formula sheet

All formulas with illustrations — print and hang on the wall!

All 📐 Geometry 🔢 Numbers and algebra 〰️ Functions ∫ Calculus 📊 Statistics 🔷 Vectors

📐 Geometry

Area — 2D

A = l · w
Rectangle
lbA = l · b
A = s²
Square
sA = s²
A = (b · h) / 2
Triangle
hgA=g·h/2
A = π · r²
Circle
rA=π·r²
A = (a+b)·h / 2
Trapezoid
abhA=(a+b)·h/2

Volume — 3D

V = l · w · h
Rectangular prism
V = s³
Cube
V = π · r² · h
Cylinder
rhV=π·r²·h
V = (4/3) · π · r³
Sphere
rV=(4/3)·π·r³
V = (1/3)·π·r²·h
Cone
hrV=(1/3)·π·r²·h

Pythagoras

a² + b² = c²
Pythagorean theorem
abca²+b²=c²
c = √(a² + b²)
Find hypotenuse

Trigonometry

sin(θ) = opposite / hypotenuse
Sine
θmot.hos.hyp.
cos(θ) = adjacent / hypotenuse
Cosine
tan(θ) = opposite / adjacent
Tangent
sin²(θ) + cos²(θ) = 1
Pythagorean identity