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Area of a rectangle	A = l × w		math-geometry-formulas
Perimeter of a rectangle	P = 2l + 2w		math-geometry-formulas
Area of a square	A = s²		math-geometry-formulas
Perimeter of a square	P = 4s		math-geometry-formulas
Area of a triangle	A = ½ × b × h		math-geometry-formulas
Perimeter of a triangle	Add the three sides		math-geometry-formulas
Area of a parallelogram	A = b × h		math-geometry-formulas
Area of a trapezoid	A = ½ × (b₁ + b₂) × h		math-geometry-formulas
Area of a rhombus	A = ½ × d₁ × d₂ (The two diagonals)		math-geometry-formulas
Area of a kite	A = ½ × d₁ × d₂		math-geometry-formulas
Area of a circle	A = πr²		math-geometry-formulas
Circumference of a circle	C = 2πr = πd		math-geometry-formulas
Diameter in terms of radius	d = 2r		math-geometry-formulas
Length of an arc	(θ/360) × 2πr, with θ in degrees		math-geometry-formulas
Area of a sector	(θ/360) × πr², with θ in degrees		math-geometry-formulas
Area of an equilateral triangle	A = (√3/4) × s²		math-geometry-formulas
Area of a regular polygon	A = ½ × apothem × perimeter		math-geometry-formulas
Heron's formula	A = √[s(s−a)(s−b)(s−c)], where s is half the perimeter		math-geometry-formulas
Area of a triangle with two sides and the included angle	A = ½ ab sin C		math-geometry-formulas
Area of an ellipse	A = πab (a and b are the semi-axes)		math-geometry-formulas
Volume of a cube	V = s³		math-geometry-formulas
Surface area of a cube	SA = 6s²		math-geometry-formulas
Volume of a rectangular prism	V = l × w × h		math-geometry-formulas
Surface area of a rectangular prism	SA = 2(lw + lh + wh)		math-geometry-formulas
Volume of any prism	V = base area × height		math-geometry-formulas
Volume of a cylinder	V = πr²h		math-geometry-formulas
Lateral surface area of a cylinder	2πrh		math-geometry-formulas
Total surface area of a cylinder	SA = 2πr² + 2πrh		math-geometry-formulas
Volume of a cone	V = ⅓πr²h		math-geometry-formulas
Lateral surface area of a cone	πrl, where l is the slant height		math-geometry-formulas
Total surface area of a cone	SA = πr² + πrl		math-geometry-formulas
Volume of a pyramid	V = ⅓ × base area × height		math-geometry-formulas
Volume of a sphere	V = 4/3 πr³		math-geometry-formulas
Surface area of a sphere	SA = 4πr²		math-geometry-formulas
Volume of a hemisphere	V = 2/3 πr³		math-geometry-formulas
Slant height of a cone	l = √(r² + h²)		math-geometry-formulas
Diagonal of a rectangle	d = √(l² + w²)		math-geometry-formulas
Diagonal of a square	d = s√2		math-geometry-formulas
Space diagonal of a rectangular prism	d = √(l² + w² + h²)		math-geometry-formulas
Pythagorean theorem	a² + b² = c²		math-geometry-formulas
Distance formula	d = √[(x₂−x₁)² + (y₂−y₁)²]		math-geometry-formulas
Midpoint formula	((x₁+x₂)/2, (y₁+y₂)/2)		math-geometry-formulas
Slope formula	m = (y₂−y₁)/(x₂−x₁)		math-geometry-formulas
Sum of interior angles of an n-gon	(n − 2) × 180°		math-geometry-formulas
Each interior angle of a regular n-gon	(n − 2) × 180° / n		math-geometry-formulas
Sum of exterior angles of any polygon	360°		math-geometry-formulas
Number of diagonals of an n-gon	n(n − 3)/2		math-geometry-formulas
Equation of a circle	(x − h)² + (y − k)² = r²		math-geometry-formulas
Surface area of a triangular prism	2 × base area + perimeter of base × height		math-geometry-formulas
Volume of a torus	V = 2π²Rr²		math-geometry-formulas
Perimeter of an equilateral triangle	P = 3s		math-geometry-formulas
Area of an annulus (ring)	A = π(R² − r²)		math-geometry-formulas
Area scale factor	If lengths scale by k, area scales by k²		math-geometry-formulas
Volume scale factor	If lengths scale by k, volume scales by k³		math-geometry-formulas