Science cluster
Geometry & Trigonometry Calculators
Find areas, volumes, angles, and coordinates for triangles, circles, polygons, and other shapes and solids.
Top calculators
A short starting set for the most common geometry & trigonometry calculators workflows.
Circle Chord, Arc Length, and Segment Area Calculator for Central Angles
Calculate circle chord length, arc length, and segment area from a radius and central angle in degrees. Includes MathML formulas, a worked geometry example, interpretation notes, and an interactive arc mini-game.
Sphere Volume and Surface Area Calculator | Radius-Based Sphere Geometry
Measure a sphere's volume and surface area from its radius with this calculator. See the formulas, a worked example, and the main assumptions behind the result.
Circumcircle Calculator - Circle Through Three Points
Find the circumcenter, radius, and equation of the circle passing through three non-collinear points.
Rolling Acceleration on Incline Calculator
Determine the acceleration, time, and final speed of rigid bodies rolling without slipping down an incline.
Barycentric Coordinate Calculator - Explore Triangle Geometry
Calculate barycentric coordinates of a point with respect to a 2D triangle. Ideal for triangle geometry, computer graphics, FEM shape functions, and point-in...
Circle Area Calculator - Find the Area of a Circle
Calculate the area of a circle by radius, diameter, or area and explore the geometry with an interactive diagram.
Coordinate Transformation Calculator (Translation, Reflection, Rotation, Dilation)
Free coordinate transformation calculator for mapping a point (x, y) using translations, reflections, rotations about the origin, and dilations. Includes formulas, examples, and notes for students.
Stream Discharge Calculator (Q = A × V) | Estimate River Flow Volume
Estimate stream or river discharge (flow rate) using channel width, average depth, and flow velocity. Includes formula, assumptions, worked example, unit notes, and limitations.
All calculators in this cluster
Browse 47 calculators matched to this topic, or return to the Science category.
Ames Room Illusion Calculator | Forced Perspective Room Geometry
Use this Ames room illusion calculator to estimate right-corner depth, back-wall angle, and floor drop for a forced-perspective room viewed from a peephole. Includes formulas, examples, interpretation help, and an optional mini-game.
Angle Between Two Lines Calculator
Determine the acute angle formed by two lines in standard form using pure browser-based calculations.
Angle of Elevation Calculator | Compute Elevation, Depression, Grade, and Sight Line
Calculate an angle of elevation or depression from horizontal distance and height difference, then interpret the result as degrees, grade percent, line-of-sight distance, and a simple run-to-rise ratio.
Angle of Repose Calculator (μ or Rise/Run) | Slope Stability Estimate
Calculate the angle of repose in degrees from either coefficient of friction (μ) or a measured slope ratio (rise ÷ run). Includes formulas, examples, typical ranges, and practical limitations for soils, sand, gravel, and stockpiles.
Area Converter - Metric and Imperial Units
Convert area between square meters, square kilometers, square feet, square yards, acres, hectares, and more. Fast area converter for land, rooms, maps, and p...
Banach–Tarski Mass Replication Calculator
Explore the Banach–Tarski paradox by modeling mass duplication from a decomposed sphere.
Barycentric Coordinate Calculator - Explore Triangle Geometry
Calculate barycentric coordinates of a point with respect to a 2D triangle. Ideal for triangle geometry, computer graphics, FEM shape functions, and point-in...
Beehive Honey Yield Calculator - Predict Harvest Volume
Estimate how much honey your beehive will produce based on frame counts and extraction efficiency.
Biochar Soil Amendment Rate Calculator for Garden Beds | Estimate Mass and Volume
Estimate how much biochar to mix into a garden bed using area, incorporation depth, soil bulk density, and target amendment percentage by mass. Get soil volume, soil mass, biochar mass, and approximate loose biochar volume in one step.
Cable Tension Calculator - Determine Support Force
Estimate tension in a suspended cable given load, angle, and desired safety factor. Learn how geometry and safety margins influence overhead line design.
Charles's Law Volume-Temperature Calculator
Solve Charles's law problems by relating gas volume and absolute temperature at constant pressure.
Circle Area Calculator - Find the Area of a Circle
Calculate the area of a circle by radius, diameter, or area and explore the geometry with an interactive diagram.
Circle Chord, Arc Length, and Segment Area Calculator for Central Angles
Calculate circle chord length, arc length, and segment area from a radius and central angle in degrees. Includes MathML formulas, a worked geometry example, interpretation notes, and an interactive arc mini-game.
Circle Equation Converter | Standard Form ↔ General Form
Convert a circle equation between standard form and general form. Find the center, radius, and coefficients D, E, and F with formulas, worked examples, a conversion table, and an optional circle-matching mini-game.
Circumcircle Calculator - Circle Through Three Points
Find the circumcenter, radius, and equation of the circle passing through three non-collinear points.
Clock Angle Calculator | Find the Angle Between Clock Hands
Instantly find the smaller angle between the hour and minute hands for any analog clock time, with formulas, examples, clear explanations, and an optional angle-matching mini-game.
Coaxial Cable Capacitance Calculator
Determine capacitance, geometry, or dielectric properties for coaxial cables via C = 2πϵL/ln(b/a).
Complex Number Calculator – Add, Subtract, Multiply, Divide, Magnitude, and Angle
Use this interactive complex number calculator to add, subtract, multiply, and divide complex numbers. Get results in a + bi form plus magnitude and angle, with formulas, examples, and a fun mini-game.
Contact Lens Diameter & Base Curve Calculator (Estimated Fit)
Estimate a starting contact lens diameter and base curve from iris diameter, K readings, and comfort priority. Includes formulas, assumptions, a worked example, and practical fitting guidance.
Coordinate Transformation Calculator (Translation, Reflection, Rotation, Dilation)
Free coordinate transformation calculator for mapping a point (x, y) using translations, reflections, rotations about the origin, and dilations. Includes formulas, examples, and notes for students.
Corrosion Rate Calculator - Material Loss Estimator
Estimate metal corrosion rates from weight loss data using a classic ASTM formula.
CSS Gradient Generator - Linear and Radial
Create linear or radial CSS gradients with adjustable colors and angles entirely client-side.
Deck Footing Concrete Volume Calculator | Concrete Yards and Bag Count for Post Holes
Estimate concrete for deck footings by diameter, depth, and count. See per-footing volume, total cubic feet, cubic yards, and an approximate 80 lb bag count.
Earthwork Cut and Fill Calculator for Rectangular Site Grading
Calculate rectangular site cut or fill volume from average existing and proposed elevations, then estimate loose haul volume using swell and shrinkage factors.
Electric Field of a Charged Ring Calculator (Axial Field)
Calculate the axial electric field of a uniformly charged ring, or solve for charge, ring radius, or axial distance using the standard electrostatics formula.
Geodesic Dome Strut Length Calculator for A, B, and C Cuts
Calculate ideal A, B, and C strut lengths for 2V and 3V geodesic domes from a chosen radius, then use the chord-based baseline to plan your cut list.
Heat Loss Calculator for Walls, Windows, Roofs, and Floors
Estimate conductive heat loss through a wall, window, roof, floor, or door using area, U-value, and temperature difference. Convert watts into daily kWh and heating cost with this surface heat loss calculator.
Hempcrete Wall Material Calculator
Estimate hemp hurd, lime binder, and water quantities for casting hempcrete walls based on area and thickness.
Hyperbola Properties Calculator
Interactive hyperbola properties calculator that finds vertices, foci, asymptotes, eccentricity, and key parameters from the standard form. Ideal for algebra...
Infiltration Trench Sizing Calculator (Length, Storage, Drain Time)
Calculate required infiltration trench length, runoff storage volume, and estimated drain-down time using drainage area, rainfall depth, trench geometry, aggregate void ratio, and soil infiltration rate.
Infinite Slope Stability Calculator - Factor of Safety
Evaluate the factor of safety for an infinite slope using soil cohesion, friction angle, unit weight, slope angle, and failure depth.
Lapidary Gem Faceting Angle Calculator - Critical Angles for Brilliance
Calculate optimal pavilion and crown faceting angles for gemstones based on refractive index to maximize brilliance and fire through total internal reflection.
Leatherworking Stretch and Thickness Calculator | Belt, Wallet, and Hide Planning
Estimate leather stretch compensation, skive depth, stitch margin, and hide area for belts, wallets, holsters, bags, books, and armor projects.
Lime Plaster Mix Calculator
Calculate lime plaster materials from wall area and coat thickness. Enter volumetric mix parts to estimate total volume plus lime, sand, fiber, and water amo...
Neighborhood Walkability Score Estimator - Rate Your Area
Estimate a walkability score by entering nearby amenities, transit options, and sidewalk coverage.
Rainwater First Flush Diverter Volume Calculator (Roof Runoff Sizing)
Calculate the first flush diverter volume for a rainwater harvesting system using roof area, first-flush depth (mm), and diverter efficiency (%). Includes formula, worked example, sizing tips, and practical design notes.
Rolling Acceleration on Incline Calculator
Determine the acceleration, time, and final speed of rigid bodies rolling without slipping down an incline.
Silage Pile Volume Calculator for Bunkers, Trenches, and Drive-Over Piles
Estimate silage pile volume, as-fed tons, and dry matter tons for bunker silos, trenches, and drive-over piles using field dimensions, density, and moisture content.
Slope-Intercept and Standard Form Converter
Convert linear equations between slope-intercept form, y = mx + b, and standard form, Ax + By = C. Enter decimals or fractions to get exact simplified coefficients and clear explanations.
Solar Declination Angle Calculator - Determine Sun's Seasonal Tilt
Compute the solar declination angle for any date to understand the sun's apparent seasonal movement and its impact on daylight and solar energy.
Sphere Volume and Surface Area Calculator | Radius-Based Sphere Geometry
Measure a sphere's volume and surface area from its radius with this calculator. See the formulas, a worked example, and the main assumptions behind the result.
Stream Discharge Calculator (Q = A × V) | Estimate River Flow Volume
Estimate stream or river discharge (flow rate) using channel width, average depth, and flow velocity. Includes formula, assumptions, worked example, unit notes, and limitations.
Surface of Revolution Calculator | Rotate y = f(x) About the x-Axis
Estimate the curved surface area created when y = f(x) is rotated about the x-axis over [a, b]. The calculator explains the formula, inputs, and numerical assumptions.
Terrarium Misting Frequency and Humidity Calculator - Moisture Level Maintenance
Calculate optimal misting frequency based on terrarium size, substrate, and target humidity to maintain tropical environments.
Tree Stand Volume & Timber Cruise Calculator | Quick Board-Foot and Timber Value Estimates
Estimate gross board feet, quality-adjusted net volume, and a rough timber value for one stand using DBH, merchantable height, stocking, species group, and stand quality.
Triangle Center Calculator | Centroid, Incenter, Circumcenter, and Orthocenter from Coordinates
Enter triangle vertex coordinates to compute the centroid, incenter, circumcenter, and orthocenter with coordinate formulas, a worked example, and guidance for degenerate triangles.
Tubeless Tire Sealant Calculator - Estimate Fluid Volume
Determine how much sealant to pour into tubeless bicycle tires using diameter, width, and desired fill percentage.