📐
Category
Math & Algebra
311 calculators
🧮Addition Calculator — WebCalcSysAdd multiple numbers with a dynamic input count. Choose from 2 to 10 values. Free online addition calculator.
🧮Calculus Calculator — WebCalcSysNumerical integration using Simpson's rule and numerical differentiation using central difference. Free online calculus calculator.
🧮Circumference Calculator — WebCalcSysCalculate circumference, area, diameter, and radius of a circle. Free online circle calculator.
🧮Exponent & Root Calculator — WebCalcSysCalculate exponents, square roots, and cube roots. Free online exponent calculator.
🧮Fraction Calculator — WebCalcSysAdd, subtract, multiply, divide, and simplify fractions. Free online fraction calculator.
🧮Geometry Calculator — WebCalcSysCalculate area, perimeter, surface area, and volume for common 2D and 3D shapes. Free online geometry calculator.
🧮Linear Algebra Calculator — WebCalcSysPerform vector operations: addition, subtraction, dot product, cross product, magnitude, and angle between vectors. Free online linear algebra calculator.
🧮Log Calculator — WebCalcSysCalculate logarithms with any base. Free online logarithm calculator.
🧮Matrix Calculator — WebCalcSysPerform matrix operations: addition, subtraction, multiplication, determinant, transpose, and inverse for 2x2 and 3x3 matrices. Free online matrix calculator.
🧮Number Base Converter — WebCalcSysConvert numbers between binary, octal, decimal, and hexadecimal. Free online base converter.
🧮Prime Factor & Checker — WebCalcSysCheck if a number is prime and find its prime factorization. Free online prime number tool.
🧮Pythagorean Theorem Calculator — WebCalcSysCalculate the missing side of a right triangle using a² + b² = c². Free online Pythagorean theorem calculator.
🧮Ratio & Proportion Calculator — WebCalcSysSimplify ratios, find missing values in proportions, and compare ratios. Free online ratio calculator.
🧮Roman Numeral Converter — WebCalcSysConvert between Roman numerals and Arabic numbers. Free online Roman numeral converter.
🧮Scientific Notation Calculator — WebCalcSysConvert between decimal and scientific notation. Free online scientific notation converter.
🧮Significant Figures Calculator — WebCalcSysCount significant figures and round numbers. Free online sig fig calculator.
🧮Slope Calculator — WebCalcSysCalculate the slope between two points. Free online slope calculator.
chaos theoryLogistic Mapx(n+1)=r*x(n)*(1-x(n))
universalityFeigenbaum ConstantApproximate Feigenbaum delta
fractalMandelbrot CheckCheck if c is in Mandelbrot set
fractalSierpinski PointGenerate Sierpinski triangle point
chaosBifurcation PointBifurcation diagram y value
chaosLorenz Attractor Stepdx/dt = sigma(y-x)
∫Simpson Integral∫f(x)dx via Simpson rule
∫Trapezoidal Integral∫f(x)dx via trapezoid rule
√Bisection MethodFind root by bisection
sinTaylor Sin(x)sin(x) ≈ x - x³/3! + x⁵/5!
e^xTaylor e^xe^x ≈ 1 + x + x²/2! + x³/3!
∫Riemann Sum∫f(x)dx left Riemann sum
√Secant Methodx(n+1) = x(n) - f(x(n))(x(n)-x(n-1))/(f(x(n))-f(x(n-1)))
🔄Fixed Point Iterationx = g(x)
📈Lagrange InterpolationInterpolate points
CₙCatalan NumberC(n) = (2n)!/((n+1)!n!)
FₙNth FibonacciF(n) = F(n-1) + F(n-2)
LₙLucas NumberL(n) = L(n-1) + L(n-2)
🔢Collatz StepsSteps to reach 1
🔢Goldbach Pairsp + q = n (both prime)
σSum of Divisorsσ(n)
μMöbius Functionμ(n)
BₙBernoulli Number B(n)B(n) via formula
BₙBell NumberNumber of set partitions
📐Pythagorean Triplea²+b²=c²
p(n)Integer Partitionsp(n) number of partitions
🔢Extended GCDax+by = gcd(a,b)
🔢Chinese Remainderx ≡ a (mod m)
🔢Basic CalculatorPerform basic arithmetic
%Percentage of NumberX% of Y
📈Percentage ChangeIncrease/decrease %
➕AdditionAdd numbers
➖SubtractionSubtract numbers
✖️MultiplicationMultiply numbers
➗DivisionDivide numbers
xʸPower/Exponentx^y
x²Squarex²
x³Cubex³
√Square Root√x
∛Cube Root∛x
√ⁿNth Rootⁿ√x
n!Factorial n!n!
|x|Absolute Value|x|
🔢RoundingRound to precision
📊Arithmetic MeanAverage of numbers
🔗Greatest Common DivisorGCD(a,b)
🔗Least Common MultipleLCM(a,b)
%Modulo/Resta mod b
🔢Prime Number CheckIs n prime?
🔬Prime FactorizationBreak into primes
∑Sum 1...n1+2+...+n
∑Sum of Squares1²+...+n²
∑Sum of Cubes1³+...+n³
🔄Reverse Digits123→321
🔢Sum of Digits123→1+2+3=6
🔬Scientific Notation→ a×10^b
🎯Significant FiguresRound to n sig figs
¹/ₓReciprocal 1/x1/x
🔢Digital Rootdr(n)
🔤Number to Words42→forty-two
📐Linear Equation ax+b=0Solve ax+b=0
📐Linear Eq ax+b=cx+dSolve ax+b=cx+d
📐System 2×2Solve 2 equations
📐Quadratic Formulaax²+bx+c=0
📈Quadratic VertexParabola vertex y=ax²+bx+c
📐Cubic t³+pt+q=0Depressed cubic
📐Linear Inequalityax+b>0
📐Polynomial EvaluateEvaluate P(x)
📐(a+b)²Expand (a+b)²
📐(a+b)³Expand (a+b)³
📊Arithmetic Sequencenth term & sum
📊Geometric Sequencenth term & sum
📊Infinite Geometric SeriesSum if |r|<1
📐Partial FractionsDecompose 1/((x+a)(x+b))
📐Synthetic DivisionPolynomial ÷ (x-c)
📐Exponential Eq a^x=bSolve a^x=b
📐Logarithmic EqSolve log_a(x)=b
📐Sum & Product of RootsQuadratic roots
📐Complete Squarex²+bx
🔢Complex Add(a+bi)+(c+di)
🔢Complex Multiply(a+bi)(c+di)
🔢Complex Modulus|a+bi|
🔢Complex→Polarr(cosθ+isinθ)
📐Triangle Area (b,h)A=½bh
🔲RectangleArea & perimeter
▱ParallelogramArea
⏢Trapezoid AreaArea
🔷RhombusArea & side
🪁Kite AreaA=½d₁d₂
⭕CircleArea & circumference
🥧SectorArea & arc length
🌙Circle SegmentSegment area
⭕AnnulusRing area
🔵EllipseArea
⬡Polygon AnglesInterior angles
⬡Regular Polygon AreaArea of regular polygon
📐Pythagorean Theorema²+b²=c²
📏2D DistanceDistance between points
📍MidpointM=((x₁+x₂)/2,(y₁+y₂)/2)
📈SlopeSlope between points
📐CircumcircleCircumradius of triangle
📐IncircleInradius of triangle
📍CentroidTriangle centroid
📏Point-Line Distd=|Ax₀+By₀+C|/√(A²+B²)
📦CubeV=s³, SA=6s²
📦Rectangular PrismV=lwh
🔵SphereV=⁴⁄₃πr³
🥫CylinderV=πr²h
🍦ConeV=⅓πr²h
🔺PyramidV=⅓×base×h
🍩TorusDonut volume
📐FrustumConical frustum volume
🌓HemisphereHalf sphere
⚽EllipsoidV=⁴⁄₃πabc
💊CapsuleCylinder+hemispheres
🔺TetrahedronRegular tetrahedron
📐Sin, Cos, TanBasic trig functions
📐arcsin, arccos, arctanInverse trig
📐csc, sec, cotReciprocal trig
📐Law of Sinesa/sinA=b/sinB
📐Law of Cosinesc²=a²+b²-2ab·cosC
📐sinh, cosh, tanhHyperbolic functions
🔄Radians↔DegreesConvert angle units
📐sin²+cos²=1Verify trig identity
📐sin2θ, cos2θDouble angle
📐sin(θ/2), cos(θ/2)Half angle
📐sin(A±B), cos(A±B)Sum of angles formulas
📈d/dx x^nDerivative of power
📈Polynomial Derivatived/dx(ax³+bx²+cx+d)
📈d/dx sin(x)Derivative of sine
📈d/dx e^xDerivative of e^x
📊∫x^n dxDefinite integral
📊∫sin(x)dxIntegral of sine
📊∫cos(x)dxIntegral of cosine
📊∫e^x dxIntegral of e^x
📊Trapezoidal RuleNumerical integration
📈Limit f(x)Evaluate limit
📊MedianMiddle value
📊ModeMost frequent
📊Std DeviationPopulation std dev
📊Z-Scorez=(x-μ)/σ
📈Linear RegressionLine of best fit
📊Pearson rCorrelation coefficient
📐Permutation nPrnPr=n!/(n-r)!
📐Combination nCrnCr=n!/[r!(n-r)!]
📊Binomial ProbP(k) = C(n,k)p^k(1-p)^(n-k)
📊Normal PDFNormal density
📊Normal CDFNormal cumulative
📊Poisson ProbP(k) = λ^k·e^(-λ)/k!
📊Geometric ProbP(k) = (1-p)^(k-1)×p
📊Expected Value E[X]Σx·P(x)
📐Binomial Coeff C(n,k)Efficient C(n,k)
📊Uniform PDFUniform density f(x)=1/(b-a)
🔢Fibonacci F(n)nth Fibonacci
🔢Fibonacci SequenceGenerate sequence
ΦGolden Ratio φφ=(1+√5)/2
🔢Catalan C(n)Cₙ=(2n)!/((n+1)!n!)
🔢τ(n) Divisor CountNumber of divisors
🔢Perfect NumberIs n perfect?
🔢Collatz Sequence3n+1 problem
📐Pythagorean Triplem²-n², 2mn, m²+n²
📊Log_b(x)Log any base
📊Natural Log ln(x)ln(x)
📊Log₁₀(x)Base 10 log
📊Log₂(x)Base 2 log
📊Sigmoid σ(x)σ(x)=1/(1+e⁻ˣ)
📊ReLU(x)max(0,x)
📊Gaussian f(x)ae^(-(x-b)²/(2c²))
📈Exponential GrowthP(t)=P₀e^(rt)
📈Exponential DecayP(t)=P₀e^(-rt)
📈Logistic GrowthP(t)=K/(1+((K-P₀)/P₀)e^(-rt))
📐Linear Interpolationy=y₁+(x-x₁)(y₂-y₁)/(x₂-x₁)
📐Manhattan DistanceL1 distance
📐Chebyshev DistanceL∞ distance
🌍Haversine DistGreat-circle distance
🔢Roman NumeralsNumber→Roman
🔢Parse Roman NumeralsRoman→Number
📊Gamma Γ(n)Γ(n)=(n-1)!
📐Quadratic BezierB(t)=(1-t)²P₀+2(1-t)tP₁+t²P₂
📐System of 2 EquationsSolve a1x+b1y=c1, a2x+b2y=c2
📐Quadratic Rootsx = (-b +/- sqrt(b2-4ac))/(2a)
📐Polynomial EvaluationEvaluate a0+a1x+a2x2+a3x3
🔢Absolute Value|x| = x if x>=0 else -x
📐Linear Interpolationy = y1+(x-x1)*(y2-y1)/(x2-x1)
📐2D Distancesqrt((x2-x1)^2+(y2-y1)^2)
📐Slope of Linem = (y2-y1)/(x2-x1)
📐Perpendicular Slopem_perp = -1/m
⭕Circle from RadiusArea and circumference of circle
📐Distance Point to Line|Ax0+By0+C|/sqrt(A^2+B^2)
🔢DiscriminantD = b^2-4ac
➡️Vector Addition(a1+b1, a2+b2)
➡️Dot ProductA·B = a1*b1+a2*b2
➡️2D Cross ProductAxB = a1*b2-a2*b1
➡️Vector Magnitude|v| = sqrt(x^2+y^2)
➡️Unit Vectoru-hat = v/|v|
➡️Vector Angletheta = atan2(y,x)
📐Triangle AreaA = 0.5*b*h
📐Triangle Area (Heron)A = sqrt(s(s-a)(s-b)(s-c))
⭕Circle AreaA = pi*r^2
🌐Sphere VolumeV = (4/3)*pi*r^3
🧊Cylinder VolumeV = pi*r^2*h
📐Cone VolumeV = (1/3)*pi*r^2*h
🧊Cube VolumeV = s^3
📐Pyramid VolumeV = (1/3)*l*w*h
📐Regular Polygon AreaA = 0.5*n*R^2*sin(2*pi/n)
⭕Torus VolumeV = 2*pi^2*R*r^2
🧊Cube Diagonald = s*sqrt(3)
📐Golden Ratiophi = (1+sqrt(5))/2
sinSinesin(theta)
cosCosinecos(theta)
tanTangenttan(theta)
cscCosecantcsc(theta) = 1/sin(theta)
secSecantsec(theta) = 1/cos(theta)
cotCotangentcot(theta) = 1/tan(theta)
asinArcsintheta = sin^-1(x)
acosArccostheta = cos^-1(x)
atanArctantheta = tan^-1(x)
atan2Arctan2(y,x)theta = atan2(y,x)
sinhHyperbolic Sinesinh(x) = (e^x-e^-x)/2
coshHyperbolic Cosinecosh(x) = (e^x+e^-x)/2
tanhHyperbolic Tangenttanh(x) = sinh(x)/cosh(x)
📐Law of Sinesa/sin(A)=b/sin(B)=c/sin(C)
📐Law of Cosinesc^2=a^2+b^2-2ab*cos(C)
convertDegrees to Radiansrad = deg*pi/180
sin2Double Angle sin(2theta)sin(2theta) = 2sin(theta)cos(theta)
cos2Double Angle cos(2theta)cos(2theta) = cos^2-sin^2
averageMean (Average)x-bar = sum(x)/n
medianMedianMiddle value of sorted data
modeModeMost frequent value
rangeRangemax - min
varianceVariancesigma^2 = sum(x-x-bar)^2/n
zZ-Scorez = (x-mu)/sigma
quartileQuartilesQ1, Q2, Q3
covarianceCovariancecov = sum(x-x-bar)(y-y-bar)/n
correlationCorrelationr = cov/(sx*sy)
averageHarmonic Meann/(1/x1+1/x2+...)
averageGeometric Mean(x1*x2*...)^(1/n)
rmsRMSsqrt((x1^2+x2^2+...)/n)
skewSkewnessg1 = (1/n)sum((x-x-bar)/sigma)^3
kurtosisKurtosisg2 = (1/n)sum((x-x-bar)/sigma)^4-3
percentilePercentileP-th percentile of data
iqrInterquartile RangeIQR = Q3-Q1
madMean Absolute DeviationMAD = (1/n)sum|x-x-bar|
chebyshevChebyshev InequalityP(|x-mu|>=k*sigma) <= 1/k^2
statsEmpirical Rule% within k*sigma (68-95-99.7)
smaSimple Moving AverageSMA = sum(xi)/n
seStandard ErrorSE = sigma/sqrt(n)
meMargin of ErrorME = z*sigma/sqrt(n)
sequenceInfinite Geometric SumS_inf = a/(1-r) for |r|<1
sumTelescoping Sumsum(1/k-1/(k+1)) = 1-1/(n+1)
sump-Series Sumsum(1/k^p)
sumAlternating Seriessum((-1)^(k+1)/k)
!!Double Factorial n!!n!! = n*(n-2)*(n-4)*...
fibFibonacci CheckIs n in Fibonacci sequence?
triTriangular NumberT_n = n(n+1)/2
sqSquare NumberS_n = n^2
penPentagonal NumberP_n = n(3n-1)/2
hexHexagonal NumberH_n = n(2n-1)
fibTribonacciT(n)=T(n-1)+T(n-2)+T(n-3)
binomBinomial Expansion(a+b)^n expansion
sigmaSummation Calculatorsum(f(k), k=a..b)
piProduct Calculatorprod(f(k), k=a..b)
matrixMatrix Addition 2x2A + B (2x2)
matrixMatrix Multiply 2x2A x B (2x2)
matrixDeterminant 2x2det = ad-bc
matrixInverse 2x2A^-1 = (1/det)*[d,-b;-c,a]
convertPolar to Rectx = r*cos, y = r*sin
convertRect to Polarr = sqrt(x^2+y^2), theta = atan2(y,x)
probProbability AdditionP(A or B)=P(A)+P(B)-P(A and B)
probConditional ProbabilityP(A|B) = P(A and B)/P(B)
combCombinationsC(n,k) = n!/(k!(n-k)!)
permPermutationsP(n,k) = n!/(n-k)!
probBernoulli TrialP(k) = C(n,k)*p^k*(1-p)^(n-k)
probExpected ValueE[X] = sum(x*P(x))
📊Binomial DistributionP(X=k) = C(n,k)*p^k*(1-p)^(n-k)
📊Poisson DistributionP(X=k) = (lambda^k*e^-lambda)/k!
logLog Base 10log10(x)
lnNatural Logln(x)
expExponential e^xe^x
^Power x^yx^y
√Square Rootsqrt(x)
∛Cube Rootcbrt(x)
🔢GCD via Euclidgcd(a,b) by Euclidean algorithm
🔢LCMlcm(a,b) = |a*b|/gcd(a,b)
🔢Roman Numeral ConverterConvert number to roman
🔢Scientific NotationConvert to scientific notation
🔢Significant FiguresCount sig figs in number
🔢Moduloa mod b
🎲Random Number GeneratorRandom number in range
🔢RoundingRound to n decimal places
🔢FloorFloor(x) = greatest int <= x
🔢CeilingCeil(x) = smallest int >= x
🔢Integer Parttrunc(x) = integer part
📐Hypotenusec = sqrt(a^2+b^2)