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Data & Calculators

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Data & Calculators: Math Calculators

Circular Sector Area, Arc and Chord Relationships

Calculate circular sector area, arc and chord relationships with retained unit controls, positive geometric roots and explicit inverse-branch assumptions.

Circular Sector Boundary with Two Radial Edges

Calculate circular sector boundary with two radial edges with retained unit controls, positive geometric roots and explicit inverse-branch assumptions.

Circumference with Radius and Diameter Controls

Calculate circumference with radius and diameter controls with bidirectional inputs, compatible units and clear geometric assumptions.

Clock-Hand Directional Hour–Minute Angles

Calculate both directed angles between hour and minute hands for a twelve-hour analog clock.

Closed Cone Surface from Radius, Circumference and Slant

Closed Cone Surface from Radius, Circumference and Slant. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Closed Cylinder Surface, Volume and Axial Diagonal

Closed Cylinder Surface, Volume and Axial Diagonal. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Common Factor Calculator

List all positive factors shared by two or more whole numbers.

Compare Two Signed Numbers or Decimals

Compare two real numeric values and show whether the first is greater than, equal to or less than the second.

Complex Conjugate & Magnitude from Real Components

Find the conjugate of a complex number by reversing its imaginary component, and calculate its nonnegative magnitude.

Complex Magnitude & Phase to a + bi

Convert a complex number’s nonnegative magnitude and phase to its real and imaginary components.

Complex Magnitude & Phase to Real and Imaginary Parts

Turn a complex number’s nonnegative magnitude and phase into its real and imaginary components, with degree and radian inputs.

Complex Number Modulus & Principal Argument

Find the modulus and principal argument of a complex number from its real and imaginary components.

Complex Number Trigonometric Amplitude & Phase

Obtain the radius and phase used in z = r(cos φ + i sin φ), with degree, radian and π-radian displays.

Complex Real/Imaginary Parts to Polar Form

Calculate magnitude and principal phase from real and imaginary components, with degree/radian angle display.

Cone and Circular Frustum Volume in Separate Sections

Cone and Circular Frustum Volume in Separate Sections. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Cone Curved Surface Area and Closed Total

Cone Curved Surface Area and Closed Total. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Cone Diameter with Height, Slant and Surface Controls

Cone Diameter with Height, Slant and Surface Controls. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Cone Radius from Volume, Height or Circular Base

Cone Radius from Volume, Height or Circular Base. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Confidence Interval Calculator

Estimate a normal-theory confidence interval for a mean from a sample mean, deviation, and size.

Conical Frustum Closed Surface and Slant Length

Conical Frustum Closed Surface and Slant Length. Use unit controls and documented positive geometric roots to compare base, lateral and total measures.

Constant Annual Exponential Growth & Decay

Project a positive quantity using a constant annual percentage rate, or solve for time, rate or starting value under the same model.

Control-Flow Graph Cyclomatic Complexity

Calculate McCabe’s control-flow complexity from edge, node and connected-component counts.

Cosine of an Angle with Near-Zero Snapping

No. Its cosine is a read-only value displayed in the result note. Any real angle is accepted, including values outside triangle angles. Values with absolute cosine below 1e−15 are snapped to zero.

Cube Capacity with Surface and Diagonal Inverses

Cube Capacity with Surface and Diagonal Inverses. Use unit controls and documented positive geometric roots to compare base, lateral and total measures.

Cube Edge, Face Diagonal, Space Diagonal and Size

Calculate cube edge, face diagonal, space diagonal and size with converted units, positive geometric inverses and explicit model limits.

Cube Size from Edge, Volume, Surface or Diagonal

Cube Size from Edge, Volume, Surface or Diagonal. Use unit controls and documented positive geometric roots to compare base, lateral and total measures.

Cube Surface, Volume and Face or Space Diagonal

No. A face diagonal is a√2, while the space diagonal is a√3. Each has its own control and label.

Cuboid Capacity, Six-Face Area and Interior Diagonal

Cuboid Capacity, Six-Face Area and Interior Diagonal. Use unit controls and documented positive geometric roots to compare base, lateral and total measures.

Cylinder Capacity in Cubic Feet

Calculate cylinder capacity in cubic feet with converted units, positive geometric inverses and explicit model limits.

Cylinder Capacity in Cubic Inches

Calculate cylinder capacity in cubic inches with converted units, positive geometric inverses and explicit model limits.

Cylinder Capacity in Cubic Yards

Calculate cylinder capacity in cubic yards with converted units, positive geometric inverses and explicit model limits.

Cylinder Capacity in Liters and Cubic Units

Calculate cylinder capacity in liters and cubic units with converted units, positive geometric inverses and explicit model limits.

Cylinder Capacity with US and Imperial Gallon Controls

Calculate cylinder capacity with us and imperial gallon controls with converted units, positive geometric inverses and explicit model limits.

Cylinder Curved Side Surface Area

Calculate a cylinder’s lateral area from height and radius or diameter, excluding the two circular ends.

Cylinder End Areas, Curved Side and Closed Surface

Cylinder End Areas, Curved Side and Closed Surface. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Cylinder Height from Volume, Curved Area or Axial Diagonal

Cylinder Height from Volume, Curved Area or Axial Diagonal. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Cylinder Radius from Capacity, Area and Height

Cylinder Radius from Capacity, Area and Height. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Cylinder Rim Circumference, Radius & Diameter

Convert between the radius, diameter and circumference of a circular cylinder rim using consistent length units.

Cylinder Volume, Radius, Diameter & Height

Relate a circular cylinder’s volume, height, radius and diameter using independent measurement units.

Decagon Area from Side, Perimeter or Radius

Find the area of a regular ten-sided shape from a known linear measurement, retaining its perimeter and circle radii.

Decimal ↔ Percentage Converter

Convert a decimal proportion into percent, or turn a percentage number back into its decimal form.

Decimal Angle ↔ Degrees, Minutes & Seconds

Convert signed decimal degrees and compound degrees-minutes-seconds, with optional radians and other angle units.

Decimal Rounding to the Nearest Hundredth

Round a decimal number to the nearest 0.01, including negative values, with the rounding rule and precision behavior explained.

Distance Between Two Cartesian Points

Calculate straight-line distance between two points on a plane, with a documented single-branch inverse for missing coordinates.

Distance Calculator

Calculate straight-line distance, displacement, midpoint, and coordinate differences between two points.

DMS, Decimal Degrees & Angle Unit Table

Compare degrees-minutes-seconds, decimal degrees and a third angle unit in the same table.

Dodecagon Area, Side Length & Circle Radii

Calculate area and related dimensions for a regular twelve-sided outline with an illustrated radius and apothem guide.

Duration as a Percentage of Total Time

Compare a duration with a positive reference duration using separate time units.

e to a Power & Natural Exponent

Calculate e raised to a real exponent and recover the exponent from a positive result, with a separate rounded display.

Ellipse Area from Two Semi-Axes

Calculate ellipse area from two semi-axes with converted units, positive geometric inverses and explicit model limits.

Ellipsoid Volume from Three Semi-Axes

Calculate ellipsoid volume from three semi-axes with converted units, positive geometric inverses and explicit model limits.

Equal-Leg Right Triangle Hypotenuse and Altitude

Calculate equal-leg right triangle hypotenuse and altitude with retained unit controls, positive geometric roots and explicit inverse-branch assumptions.

Equal-Leg Triangle Base and Apex Angles

No. Enter the full base b. Its half b/2 appears only inside the formulas because the altitude bisects the base.

Equilateral Triangle Area and Perpendicular Height

Calculate equilateral triangle area and perpendicular height with retained unit controls, positive geometric roots and explicit inverse-branch assumptions.

Equilateral Triangle Side, Altitude and Circle Radii

Calculate equilateral triangle side, altitude and circle radii with retained unit controls, positive geometric roots and explicit inverse-branch assumptions.

Euclidean Residues and Signed Remainder Conventions

Calculate the nonnegative residue and the retained alternative signed-remainder conventions for a nonzero divisor.

Euclidean Vector Magnitude: 2D to 5D

Find the Euclidean length of a vector with two, three, four or five real components.

Exponent Calculator

Raise any real base to an integer or fractional exponent and show reciprocal forms for negative powers.

Factor Calculator

List every positive factor and factor pair for a whole number.

Fibonacci Recurrence with Generalized Seeds

Evaluate a Fibonacci-type recurrence at an integer index, with editable first two terms and negative-index support.

Floor: Round Down to an Integer

Find the greatest integer less than or equal to a number, including negative decimals.

Fraction Calculator

Add, subtract, multiply, or divide two fractions and reduce the answer to lowest terms.

Fractional Power from Numerator and Denominator

Fractional Power from Numerator and Denominator. Evaluate a real power or principal root, with reverse inputs where a unique solution exists.

Golden Rectangle Width, Extension and Full Area

The full rectangle has width a and length a+b. Segment b is the extension beyond an a-by-a square. The area is a(a+b), equal to a²φ, rather than the area ab of the smaller remainder.

Golden Section Lengths and Whole Segment

Yes. The longer-to-shorter ratio equals the whole-to-longer ratio, both φ. The whole is also the sum of the two positive sections. Any one length determines the others.

Greatest Common Factor Calculator

Find the greatest common factor of two or more whole numbers.

Half-Disk Area, Diameter and Complete Perimeter

Yes. The full half-disk boundary is πr+2r. The curved semicircle by itself is only πr.

Half-Life Calculator

Calculate the remaining amount, elapsed half-lives, and decay constant for exponential decay.

Hemisphere Curved Area, Flat Base and Total Surface

Hemisphere Curved Area, Flat Base and Total Surface. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Hemisphere Volume from Radius, Diameter or Surface

Hemisphere Volume from Radius, Diameter or Surface. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Heptagon Area from Linear Measurements

Work between a regular heptagon’s area, side, perimeter, outer radius and apothem using its fixed seven-sided geometry.

Heron Triangle Area, Perimeter and Side Relationships

Calculate heron triangle area, perimeter and side relationships with converted units, positive geometric inverses and explicit model limits.

Hex Calculator

Perform exact arithmetic on hexadecimal integers and convert the result to decimal and binary.

Hexagonal Pyramid Base, Lateral and Total Surface

Hexagonal Pyramid Base, Lateral and Total Surface. Use unit controls and documented positive geometric roots to compare base, lateral and total measures.

Hexagonal Pyramid Capacity from Base Edge or Apothem

Hexagonal Pyramid Capacity from Base Edge or Apothem. Use unit controls and documented positive geometric roots to compare base, lateral and total measures.

Hollow Cylinder Material Volume and Wall Thickness

Hollow Cylinder Material Volume and Wall Thickness. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Hypotenuse from an Equal Right-Triangle Leg

Calculate hypotenuse from an equal right-triangle leg with retained unit controls, positive geometric roots and explicit inverse-branch assumptions.

Imaginary Unit Integer Power Cycle

Imaginary Unit Integer Power Cycle. Find the symbolic value of i raised to a positive, zero or negative integer exponent.

Inscribed Angle, Intercepted Arc and Central Angle

Yes. The intercepted arc lies opposite the inscribed vertex. The central sweep is twice the inscribed angle, and its radian value times radius gives arc length. Major arcs are allowed within the stated open bounds.

Integer Square Check and Root Factors

Integer Square Check and Root Factors. Check whether a number is the square of an integer and show its root-factor identity.

Inverse Cosine — Principal Angle

Find the principal inverse cosine angle from a value between −1 and 1, with degree and radian units.

Inverse Cosine with Principal-Angle References

Inverse Cosine with Principal-Angle References. Find the principal inverse angle or convert a entered angle to its sine/cosine ratio.

Inverse Sine — Principal Angle

Find the principal inverse sine angle from a value between −1 and 1, with degree and radian units.

Isosceles Triangle Altitudes to Base and Equal Leg

Calculate isosceles triangle altitudes to base and equal leg with retained unit controls, positive geometric roots and explicit inverse-branch assumptions.

Isosceles Triangle Area from Equal Leg and Base

Calculate isosceles triangle area from equal leg and base with retained unit controls, positive geometric roots and explicit inverse-branch assumptions.

Least Common Multiple Calculator

Find the least common multiple of two or more whole numbers.

Log Calculator

Calculate logarithms with any positive base, including common and natural logarithms.

Long Division Calculator

Divide whole numbers and show quotient, remainder, decimal result, and the division identity.

Matrix Calculator

Add, subtract, multiply, transpose, or find the determinant of matrices up to 8 by 8.

Matrix Entrywise Product up to 3 × 3

Multiply corresponding entries of two equally sized matrices, from 1 × 1 through 3 × 3, with signed and zero entries and retained inverse relations.

Matrix Scalar Multiplication, 1–3 Rows & Columns

Multiply every entry of a matrix by one real scalar, with selectable dimensions through 3 × 3 and reversible nonzero-factor calculations.

Mean, Median, Mode, Range Calculator

Find the mean, median, mode, range, sum, and count of a list of numbers.

Modulo Remainders and Operation Ordering

Calculate the nonnegative residue and the retained alternative signed-remainder conventions for a nonzero divisor.

Natural Logarithm & Exponential Inverse

Calculate the real natural logarithm of a positive number or recover the number from its logarithm.

Negative Logarithm with a Chosen Base

Calculate minus the logarithm of a positive number using a positive base other than one.

Negative Powers and Reciprocal Evaluation

Negative Powers and Reciprocal Evaluation. Evaluate a real power or principal root, with reverse inputs where a unique solution exists.