Mathematik und Statistik

Berechnung: kugelförmig grenze oberfläche fläche.

Berechnung: trapezoidal prism volumen.

Berechnung: regelmäßig octagon umfang.

Berechnung: ellipse eccentricity.

Berechnung: kreis chord länge winkel.

Berechnung: triangular lattice points.

Berechnung: rechteckig pyramide volumen.

Berechnung: ring umfang gesamt.

Berechnung: regelmäßig vieleck innen sum.

Berechnung: conical stumpf seitlich fläche.

Berechnung: frequenz table relativ anzahl.

Berechnung: conditional wahrscheinlichkeit given ereignis.

Berechnung: regelmäßig icosagon innen winkel.

Berechnung: regelmäßig vieleck außen winkel.

Berechnung: circular annulus fläche difference.

Berechnung: parabola fokus entfernung.

Berechnung: ellipse latus rectum länge.

Berechnung: kreis external tangent länge.

Berechnung: interquartils bereich aus quartiles.

Berechnung: koeffizient von bereich statistic.

Berechnung: poisson zero ereignisse wahrscheinlichkeit.

Berechnung: triangle centroid median entfernung.

Heron Triangle Area Calculator uses triangle side a and triangle side b to calculate unit². All three sides must obey the triangle inequality.

Triangle Circumradius from Sides Calculator uses side a and side b to calculate length units. A degenerate triangle has no finite circumcircle radius.

Parabola Vertex X Coordinate Calculator uses quadratic coefficient a and linear coefficient b to calculate x units. Requires nonzero a; the x coordinate alone does not give the vertex height.

Regular Octagon Area Calculator uses octagon side length to calculate unit². Only applies to a regular eight-sided polygon.

Rectangular Prism Diagonal Calculator uses prism length and prism width to calculate length units. Inputs must be measured along mutually perpendicular edges.

Isosceles Triangle Height Calculator uses equal side length and base length to calculate length units. The base must be shorter than twice either equal side.

Triangular Prism Surface Area Calculator uses base side a and base side b to calculate unit². Assumes a right prism with congruent triangular ends; exclude material thickness.

Hollow Sphere Volume Calculator uses outer sphere radius and inner cavity radius to calculate unit³. Uses concentric inner and outer spherical boundaries.

Circular Segment Sagitta Calculator uses circle radius and chord length to calculate length units. Sagitta is the minor segment height; it is not an arc length.

3D Scalar Triple Product Calculator uses vector a x and vector a y to calculate unit³. The signed value is determinant A dot (B cross C); absolute value gives parallelepiped volume.

2×2 Odds Ratio Calculator uses exposed with outcome and exposed without outcome to calculate odds ratio. Zero-cell corrections and confidence intervals require additional modeling.

Positive Likelihood Ratio Calculator uses sensitivity percent and specificity percent to calculate ratio. Derived from sensitivity and specificity; not an individual prediction.

Torus Volume Calculator estimates cm³ using major radius to tube center (cm), tube radius (cm). A ring torus assumes major radius exceeds minor radius and a perfect circular cross-section.

Ellipsoid Volume Calculator estimates cm³ using first semi-axis (cm), second semi-axis (cm), third semi-axis (cm). Use radii, not full diameters; this applies to an ideal ellipsoid.

Regular Tetrahedron Volume Calculator estimates cm³ using edge length (cm). Only equilateral triangular faces are valid for this formula.

Spherical Cap Volume Calculator estimates cm³ using sphere radius (cm), cap height (cm). Cap height must be at most twice sphere radius.

Circular Chord Length Calculator estimates cm using circle radius (cm), central angle (degrees). The supplied angle must be in degrees; geometry assumes a perfect circle.

Polygon Diagonals Count Calculator estimates diagonals using polygon sides. Only simple polygons with at least three integer sides are covered.

Right Cone Total Surface Area Calculator estimates cm² using cone base radius (cm), vertical height (cm). Includes circular base and sloping side but assumes a perfect right cone.

Annular Sector Area Calculator estimates cm² using outer radius (cm), inner radius (cm), central angle (degrees). The inner radius must not exceed the outer radius.

Ellipse Focal Distance Calculator estimates cm using semi-major axis (cm), semi-minor axis (cm). Use semi-axes with semi-major no smaller than semi-minor.

Regular Hexagonal Prism Volume Calculator estimates cm³ using hexagon side (cm), prism height (cm). Requires regular hexagonal bases and perpendicular height.

Calculate the area of a minor circular segment from circle radius and its central angle.

Calculate the curved surface area of a conical frustum using its top and base radii and vertical height.

Find the radius of the incircle inside a triangle from its three side lengths.

Calculate the center-to-side perpendicular distance of a regular polygon from its side length and side count.

Approximate ellipse circumference from its semi-major and semi-minor axes using Ramanujan’s first formula.

Calculate the solid volume of a straight hollow cylinder or pipe from its outer radius, inner radius and length.

Evaluate the logarithm of a positive number using a chosen valid positive base other than one.

Calculate the scalar dot product of two two-dimensional vectors from their horizontal and vertical components.

Find the signed scalar length of one 2D vector projected onto the direction of a second nonzero vector.

Calculate the geometric mean of three positive numbers on the same meaningful numeric scale.

Evaluate the discriminant of a quadratic polynomial to understand the number of real roots.

Calculate the perpendicular height of a parallelogram from its area and chosen base length.

Calculate the length of a trapezoid midsegment from the two parallel base lengths.

Find the volume of a straight triangular prism from its triangle base, perpendicular height, and prism length.

Calculate just the curved outside surface area of a right circular cylinder without its end caps.

Determine a right circular cone’s slant height from its radius and perpendicular height.

Find the nth term and finite sum of an arithmetic sequence with a constant difference.

Calculate a term and finite sum in a mathematical geometric sequence with a constant ratio.

Calculate a real integer-degree root, with domain checks for negative values and even roots.

Calculate the real cube root of positive, zero, or negative numbers.

Find the normalized remainder from division for cycle, modular arithmetic, and number theory problems.

Calculate the geometric mean of positive values and compare it with their arithmetic mean.

Calculate the harmonic mean of positive numerical values for suitable rate and ratio problems.

Calculate a trimmed mean by removing a chosen percentage of observations from both tails.

Flag possible low and high outliers using Tukey fences based on the interquartile range.

Estimate a normal-approximation confidence interval around a sample mean from its spread and sample size.

Calculate an ellipse area from its semi-major and semi-minor axes, with a perimeter approximation.

Calculate rhombus area from the lengths of its two diagonals.

Calculate the area of a standard kite from its perpendicular diagonal lengths.

Calculate area, perimeter, and apothem for a convex regular polygon from side count and side length.

Calculate prism volume from base area and perpendicular height.

Berechnen Sie, wie viel ein Prozentsatz eines Wertes ausmacht.

Berechnen Sie den prozentualen Anstieg oder Rückgang zwischen zwei Werten.

Calculate the percentage-point difference between two percentages and the relative percentage change.

Calculate the first quartile, third quartile, and interquartile range of a numeric data set.

Berechnen Sie Mittelwert, Median, Modalwert, Spannweite, Summe und Anzahl für eine Zahlenliste.

Simplify ratios, scale ratios, and solve ratio proportions.

Add, subtract, multiply, and divide fractions with step-by-step simplification.

Find the Least Common Multiple and Greatest Common Divisor of any set of numbers.

Check if a number is prime, and find all prime numbers up to any limit.

Convert numbers between binary, decimal, hexadecimal, and octal.

Convert numbers to Roman numerals and Roman numerals back to numbers.

Full scientific calculator with trigonometry, logarithms, exponents, and more.

Calculate percentage error and absolute error between observed and reference values.

Calculate population or sample standard deviation, variance, mean, sum, and count.

Calculate simple event probability from favorable outcomes and total outcomes.

Calculate the z-score of a value using its mean and standard deviation.

Solve a quadratic equation and calculate its discriminant and real roots.

Calculate circle area, circumference, and diameter from radius.

Calculate triangle perimeter and area from three side lengths.

Calculate surface area for a rectangular prism, cylinder, or sphere.

Calculate the area of a rectangle, circle, or triangle.

Calculate the volume of a rectangular box, cylinder, or sphere.

Calculate straight-line distance between two points on a coordinate plane.

Calculate the slope between two points on a line.

Calculate a number raised to a positive, negative, or fractional exponent.

Calculate the square root of a non-negative number.

Calculate a logarithm for any positive value and valid base.

Round a number to a selected number of significant figures.

Round a number to a selected number of decimal places.

Find the positive factors of a positive integer.

Convert a number to normalized scientific notation.

Calculate the Pearson correlation coefficient for paired numeric observations and see the direction and strength of their linear association.

Fit a simple least-squares line to paired x and y data and estimate a y value for a chosen x.

Estimate a simple random-sample size for a proportion using a chosen confidence z-score, assumed proportion and margin of error.

Calculate the probability of exactly a chosen number of successes in independent trials with the same success probability.

Calculate the magnitude of a two- or three-dimensional vector from its components.

Calculate straight-line distance between two points in a two-dimensional coordinate plane.

Convert an angle between degrees and radians using the exact pi relationship.

Calculate a right triangle hypotenuse and acute angles from its two perpendicular side lengths.

Calculate pyramid volume from the base area and perpendicular height.

Calculate the area between two concentric circles from the outer and inner radii.

Calculate circular arc length and sector area from a radius and central angle in degrees.

Update a prior probability with new evidence using Bayes’ theorem and supplied conditional probabilities.

Find the union, intersection and differences of two comma-separated sets, with duplicate values removed.

Add, subtract and multiply 2×2 matrices and calculate each determinant with transparent row and column inputs.

Add, subtract, multiply and divide complex numbers, and calculate their magnitudes from real and imaginary parts.

Estimate a y-value between two known points using linear interpolation and identify when the result is extrapolated.

Calculate the dot product, vector magnitudes and angle between two three-dimensional vectors.

Calculate the three-dimensional cross product vector and its magnitude using the right-hand-rule convention.

Estimate probability below, between or above two values for a normal distribution with a chosen mean and spread.

Find the midpoint and straight-line distance between two points on a Cartesian plane.

Calculate slope, y-intercept and the equation of the straight line through two distinct coordinate points.

Solve a triangle side from two side lengths and their included angle using the law of cosines.

Calculate the projection vector and scalar projection of one three-dimensional vector onto another.

Find the smaller angle between two non-zero three-dimensional vectors from their components.

Calculate population and sample covariance from two equally sized paired data series.

Calculate raw median absolute deviation and mean absolute deviation from the data median.

Compare observed category counts with expected counts and estimate the chi-square statistic, degrees of freedom and upper-tail p-value.

Compare two independent success proportions using a pooled z statistic and a two-sided normal approximation.

Calculate the probability of an event count under a Poisson model using its expected rate.

Calculate the probability that the first success occurs on a specified trial in repeated independent trials.

Combine two sample standard deviations into a pooled estimate when the equal-variance assumption is appropriate.

Calculate a weighted average from matching score and weight lists.

Express a standard deviation relative to a positive mean as a percentage.

Estimate sample size for a proportion at a chosen confidence z-score and margin of error.

Calculate the latest rolling mean and each rolling average in a numeric sequence.

Calculate the probability of an exact number of successes when drawing from a finite population without replacement.

Estimate the sample size needed to estimate a population mean for a stated standard deviation, margin of error and confidence z-score.

Calculate a Wilson score confidence interval for a proportion from observed successes and total observations.

Calculate the finite population correction factor for simple random sampling without replacement.

Compare observed and predicted numeric sequences using root mean square error, mean squared error and count of observations.

Calculate mean absolute percentage error from aligned observed and predicted values.

Calculate a paired-samples t statistic, degrees of freedom and two-sided p-value from sample summary statistics.

Compare two independent sample means with Welch’s t-test without assuming equal population variances.

Calculate Pearson’s chi-square statistic and an asymptotic p-value for a 2 by 2 contingency table.

Estimate standardized mean difference using the pooled sample standard deviation of two independent groups.

Calculate Spearman’s rank correlation from two matched numeric series, including average ranks for tied values.

Square a Pearson correlation coefficient to calculate R-squared for a simple linear relationship with an intercept.

Calculate adjusted Fisher–Pearson sample skewness from a list of numeric observations.

Calculate adjusted sample excess kurtosis to describe tail weight relative to a normal distribution.

Calculate sensitivity, specificity, predictive values and total sample count from confusion-matrix counts.

Calculate precision, recall and F1 score from true-positive, false-positive and false-negative counts.

Estimate chance-corrected agreement between two raters from a 2 by 2 agreement table.

Calculate each interior angle and the angle sum of a regular polygon from its number of sides.

Estimate ellipse circumference using Ramanujan’s approximation from the semi-major and semi-minor axes.

Calculate what percentage of a defined population is represented by a sample, and see the remaining population count.

Calculate cost and schedule performance indices and variances from earned value, planned value, actual cost and budget.

Compare baseline and variant conversion rates, percentage-point difference and relative lift using two measured cohorts.

Estimate per-variant sample size for a two-sided conversion-rate A/B test using a normal approximation, baseline rate and relative minimum detectable lift.

Calculate median, p95 and p99 latency estimates from a list of measured request durations in milliseconds.

Score one option against three criteria using explicit weights and show the weighted score and each criterion contribution.

Estimate average time in a stable process from average work in process and throughput.

Normalize counted incidents by exposure time to compare operating periods of different lengths.

Calculate gross and net words per minute and an accuracy estimate from a timed typing test.

Calculate current attendance and how many remaining sessions you need to attend to meet a target rate.

Calculate a Wilson score confidence interval for a binomial proportion from observed successes and a chosen z multiplier.

Estimate a two-sided Fisher exact p-value for a 2×2 table of integer counts, using fixed margins.

Calculate Cohen’s kappa from observed agreement and the agreement expected by chance.