Mathematics
Geometry, algebra, statistics, sequences and functions.
Geometry
Annulus area
P = π(R² − r²).
Use calculator →Arc length (angle, radius)
L = (α°/360°) × 2πr.
Use calculator →Arccos (inverse cosine)
Angle whose cosine is x.
Use calculator →Arcsin (inverse sine)
Angle whose sine is x.
Use calculator →Arctan (inverse tangent)
Angle whose tangent is x.
Use calculator →Circle circumference
O = 2πr.
Use calculator →Circle sector area
P = (α/360°) × πr².
Use calculator →Circle segment area
P = r²/2 × (α_rad − sin(α)).
Use calculator →Cotangent
ctg(α) = cos(α)/sin(α).
Use calculator →Cylinder volume (from base circumference)
V = (Circumference²/(4π)) × h.
Use calculator →Distance from point to line
d = |Ax + By + C|/√(A²+B²).
Use calculator →Equilateral triangle area
P = (a²√3)/4.
Use calculator →Equilateral triangle height
h = (a√3)/2.
Use calculator →Law of cosines (side c)
c² = a² + b² − 2ab·cos(γ).
Use calculator →Law of sines (ratio)
a/sin(α) = b/sin(β).
Use calculator →Number of polygon diagonals
n(n − 3)/2.
Use calculator →Parallelogram area (with sine)
P = a·b·sin(α).
Use calculator →Sum of angles in a triangle
α + β + γ = 180°.
Use calculator →Sum of polygon angles
(n − 2) × 180°.
Use calculator →Algebra
Absolute value
|x|.
Use calculator →Ceiling (round up)
⌈x⌉ — smallest integer ≥ x.
Use calculator →Common logarithm
log(x) = log₁₀(x).
Use calculator →Difference of squares a² − b²
(a − b)(a + b).
Use calculator →Exponential function eˣ
e to the power of x.
Use calculator →Floor (integer part)
⌊x⌋ — greatest integer ≤ x.
Use calculator →Fractional part
x − floor(x).
Use calculator →Fractional power x^(m/n)
x to the power m/n.
Use calculator →Hyperbolic cosine cosh(x)
cosh(x) = (eˣ + e⁻ˣ)/2.
Use calculator →Hyperbolic sine sinh(x)
sinh(x) = (eˣ − e⁻ˣ)/2.
Use calculator →Hyperbolic tangent tanh(x)
tanh(x) = sinh(x)/cosh(x).
Use calculator →Linear function value y = ax + b
y for a given x.
Use calculator →Linear interpolation
Value between (x₁,y₁) and (x₂,y₂).
Use calculator →Logarithm to any base
log_a(x) = ln(x)/ln(a).
Use calculator →Maximum of two numbers
max(a, b).
Use calculator →Minimum and maximum of numbers
min(a, b, c), max(a, b, c), range.
Use calculator →Natural logarithm
ln(x) = log_e(x).
Use calculator →nth root
ⁿ√x = x^(1/n).
Use calculator →Percentage change
(new − old) / old × 100%.
Use calculator →Ratio of two numbers
a : b or a/b.
Use calculator →Round to n decimal places
Round x to k decimal places.
Use calculator →Scale (length conversion)
Real length from map: L = l × scale.
Use calculator →Sign of a number (signum)
sgn(x): −1, 0 or 1.
Use calculator →Square of sum (a + b)²
a² + 2ab + b².
Use calculator →Statistics
Geometric mean
√(a × b).
Use calculator →Harmonic mean
2ab/(a + b).
Use calculator →Median (5 numbers)
Middle value of five.
Use calculator →Permutations P(n) = n!
Number of permutations of n elements.
Use calculator →Range (max − min)
Difference between max and min.
Use calculator →Standard deviation (3 numbers)
σ = √(variance).
Use calculator →Variance (n numbers)
σ² = Σ(xᵢ − x̄)²/n.
Use calculator →Other
Arithmetic mean
Srednia arytmetyczna calculator.
Use calculator →Arithmetic sequence term
N ty wyraz arytm calculator.
Use calculator →Arithmetic series sum
Suma ciagu arytm calculator.
Use calculator →Circle area
Pole kola calculator.
Use calculator →Combinations
Kombinacje calculator.
Use calculator →Cone volume
Objetosc stozka calculator.
Use calculator →Cosine (angle)
Cosinus kat calculator.
Use calculator →Cube volume
Objetosc szescianu calculator.
Use calculator →Cylinder lateral area
Pb = 2πrh.
Use calculator →Cylinder volume
Objetosc walca calculator.
Use calculator →Distance between two points
Odleglosc dwoch punktow calculator.
Use calculator →Division ratio
Division in ratio a:b.
Use calculator →Ellipse area
Pole elipsy calculator.
Use calculator →Factorial
Silnia calculator.
Use calculator →GCD
Nwd calculator.
Use calculator →Geometric sequence term
N ty wyraz geom calculator.
Use calculator →Geometric series sum
Suma ciagu geom calculator.
Use calculator →LCM
Nww calculator.
Use calculator →Linear equation
Rownanie liniowe calculator.
Use calculator →Logarithm
Logarytm calculator.
Use calculator →Median
Mediana liczb calculator.
Use calculator →Midpoint of segment
Srodek odcinka calculator.
Use calculator →Modulo (remainder)
a mod b.
Use calculator →Parallelogram area
Pole rownolegloboku calculator.
Use calculator →Percentage change
(new − old) / old × 100%.
Use calculator →Percentage of a number
Procent z liczby calculator.
Use calculator →Power / exponent
Potega calculator.
Use calculator →Prism volume
V = Pp·h.
Use calculator →Pyramid volume
Objetosc ostroslupa calculator.
Use calculator →Pythagorean theorem
Pitagoras calculator.
Use calculator →Quadratic equation
Rownanie kwadratowe calculator.
Use calculator →Rectangle area
Pole prostokata calculator.
Use calculator →Rhombus area
Pole rombu calculator.
Use calculator →Rule of three
Regula trzech calculator.
Use calculator →Sine (angle)
Sinus kat calculator.
Use calculator →Sphere surface area
S = 4πr².
Use calculator →Sphere volume
Objetosc kuli calculator.
Use calculator →Square root
Pierwiastek kwadratowy calculator.
Use calculator →Standard deviation
Odchylenie standardowe calculator.
Use calculator →Stopnie radiany
Stopnie radiany calculator.
Use calculator →Tangent (angle)
Tangens kat calculator.
Use calculator →Trapezoid area
Pole trapezu calculator.
Use calculator →Triangle area
Pole trojkata calculator.
Use calculator →Triangle area (Heron)
Pole trojkata heron calculator.
Use calculator →Variations
Wariacje calculator.
Use calculator →Vector length
Wektor dlugosc calculator.
Use calculator →Weighted average
Σ(w·x) / Σw.
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