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

Find chord length, arc length, and segment area from a radius and central angle, with a live circle diagram, MathML formulas, and a worked example.

circle chord calculator arc length circle segment area geometry CAD

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.

sphere volume sphere surface area geometry calculator area assumptions

Rolling Acceleration on an Incline Calculator with Friction Check

Find the acceleration, travel time, exit speed, spin rate and the static friction a body needs to roll without slipping down an incline.

rolling acceleration calculator incline rolling rolling without slipping moment of inertia ratio required static friction

Circumcircle Calculator for a Circle Through Three Points

Find the circumcenter, radius, and circle equation for three non-collinear points in the plane.

circumcircle calculator circle through three points triangle circumcenter CAD center coordinates

Coordinate Transformation Calculator: Rotate, Reflect, Dilate Points

Transform any point (x, y) with translations, reflections, rotations, and dilations. Get exact 90° results, a live graph, worked examples, and clear rules.

coordinate transformation translation reflection rotation dilation

Circle Area Calculator – Radius, Diameter, Area & Circumference

Calculate a circle's radius, diameter, area, and circumference from a known radius, diameter, or area, with a scaled circle diagram.

circle area calculator area of a circle radius diameter geometry tool

Angle of Repose Calculator | Convert μ or Rise/Run to Slope Angle

Estimate a granular material's angle of repose in degrees from coefficient of friction (μ) or a measured rise-to-run slope ratio, with material context and measurement guidance.

angle of repose calculator coefficient of friction slope ratio arctan granular material stability

Angle of Elevation Calculator - Degrees, Grade, Sight Line

Calculate an angle of elevation or depression from horizontal distance and height difference, with degrees, grade percent, line-of-sight distance, and a rise ratio.

angle of elevation calculator angle of depression trigonometry grade percent line of sight

All calculators in this cluster

Browse 47 calculators matched to this topic, or return to the Science category.

Ames Room Illusion Calculator | Forced-Perspective Depth, Angle, and Floor Drop

Estimate the corner depths, back-wall angle, and floor drop for an Ames room illusion seen from a fixed peephole. This calculator helps you plan the skewed geometry behind a classic forced-perspective exhibit.

Ames room illusion calculator forced perspective room design trompe l'oeil geometry 1 − d L d R HUD

Angle Between Two Lines Calculator

Determine the acute angle formed by two lines in standard form using pure browser-based calculations.

angle between lines calculator line angle finder geometry HTML acute

Angle of Elevation Calculator - Degrees, Grade, Sight Line

Calculate an angle of elevation or depression from horizontal distance and height difference, with degrees, grade percent, line-of-sight distance, and a rise ratio.

angle of elevation calculator angle of depression trigonometry grade percent line of sight

Angle of Repose Calculator | Convert μ or Rise/Run to Slope Angle

Estimate a granular material's angle of repose in degrees from coefficient of friction (μ) or a measured rise-to-run slope ratio, with material context and measurement guidance.

angle of repose calculator coefficient of friction slope ratio arctan granular material stability

Area Converter for Square Meters, Feet, Acres, and Hectares

Convert land, floor-plan, and map areas among metric and US customary units, including square meters, square feet, hectares, acres, and square miles.

area converter square meters to square feet acres to hectares area conversion 0.1–0.4 acres

Banach–Tarski Sphere Mass and Duplication Calculator

Calculate the hypothetical volume and mass of Banach–Tarski sphere copies from radius, density, and duplication count.

Banach-Tarski calculator mass replication paradox axiom of choice banach banach-tarski

Barycentric Coordinate Calculator for 2D Triangle Points

Find a point’s barycentric coordinates relative to a 2D triangle, interpret its position, and verify determinant-based triangle geometry.

barycentric coordinates calculator triangle geometry ABC APC FEM

Beehive Honey Yield Calculator - Predict Harvest Volume

Estimate how much honey your beehive will produce based on frame counts and extraction efficiency.

beehive honey yield calculator honey harvest estimator based beehive counts

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.

biochar application rate soil amendment calculator carbon gardening amendment application rate

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.

cable tension calculator engineering load suspended cable force safety factor 2 sin theta

Charles's Law Volume-Temperature Calculator for Gas Expansion

Calculate how a gas's volume changes with temperature under Charles's law when pressure stays constant.

charles law calculator volume temperature relationship gas law add 273.15 to °C readings calculate

Circle Area Calculator – Radius, Diameter, Area & Circumference

Calculate a circle's radius, diameter, area, and circumference from a known radius, diameter, or area, with a scaled circle diagram.

circle area calculator area of a circle radius diameter geometry tool

Circle Chord, Arc Length, and Segment Area Calculator

Find chord length, arc length, and segment area from a radius and central angle, with a live circle diagram, MathML formulas, and a worked example.

circle chord calculator arc length circle segment area geometry CAD

Circle Equation Converter | Standard Form to General Form

Convert a circle equation between standard form and general form, read the center, radius, and D/E/F coefficients, and review step-by-step examples with an optional practice game.

circle equation converter standard form general form completing the square center radius

Circumcircle Calculator for a Circle Through Three Points

Find the circumcenter, radius, and circle equation for three non-collinear points in the plane.

circumcircle calculator circle through three points triangle circumcenter CAD center coordinates

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.

clock angle analog clock time math geometry angle between clock hands

Coaxial Cable Capacitance Calculator

Determine capacitance, geometry, or dielectric properties for coaxial cables via C = 2πϵL/ln(b/a).

coaxial cable capacitance cylindrical capacitor 2πϵl a 100 pF reading is 1e-10 cable

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.

complex number calculator imaginary numbers magnitude and argument complex arithmetic polar form

Contact Lens Diameter and Base Curve Calculator | Sagittal Fit Estimate

Estimate a starting soft contact lens diameter, base curve, sagittal clearance, blink movement, and vertex-adjusted power from HVID and keratometry.

contact lens diameter calculator base curve calculator HVID keratometry sagittal depth

Coordinate Transformation Calculator: Rotate, Reflect, Dilate Points

Transform any point (x, y) with translations, reflections, rotations, and dilations. Get exact 90° results, a live graph, worked examples, and clear rules.

coordinate transformation translation reflection rotation dilation

Corrosion Rate Calculator | Coupon Mass Loss to mpy & mm/y

Convert coupon mass loss to a corrosion rate in mpy, mm/y and µm/y with the ASTM G1 constants, then project remaining wall life against a minimum thickness.

corrosion rate calculator mpy mm per year ASTM G1 remaining life

CSS Two-Color Gradient Generator for Linear and Radial Backgrounds

Generate two-color linear and radial CSS background gradients with a live preview, angle or radius setting, and copyable CSS declaration.

css gradient generator linear gradient radial gradient color picker 45deg

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.

deck footing calculator post hole concrete concrete volume DIY approximate

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.

Earthwork Cut and Fill Calculator for Rectangular Site Grading science calculator Blasted Bulking Compaction

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.

charged ring electric field calculator ring of charge electrostatics axial electric field Coulomb constant

Gem Faceting Angle Calculator | Critical, Pavilion & Crown Angles

Estimate a gemstone's critical angle and starting pavilion and crown angles from refractive index for lapidary faceting.

gem faceting calculator lapidary angles critical angle refractive index brilliance

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.

geodesic dome strut length calculator 2v 3v dome builder triangle frequency about 0.404 versus 0.412 based

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.

Heat Loss Calculator for Walls, Windows, Roofs, and Floors science calculator WASD area calculator for walls, windows, roofs, and floors

Hempcrete Wall Material Calculator: Hurd, Binder, and Water Estimate

Estimate hemp hurd, lime binder, and water for hempcrete walls from wall area, thickness, and mix ratios.

hempcrete mix calculator hemp-lime wall materials natural building 1.5:1 by volume about 12 inch

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.

Infiltration Trench Sizing Calculator (Length, Storage, Drain Time) science calculator Drain Time FAQ Length

Infinite Slope Stability Calculator - Shallow Slide Factor of Safety

Estimate the factor of safety for an infinite slope using cohesion, friction angle, unit weight, slope angle, failure depth, and pore pressure ratio.

Infinite Slope Stability Calculator - Shallow Slide Factor of Safety science calculator and cohesion c and pore pressure ratio r u angle

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.

leatherworking calculator leather stretch skiving thickness hide properties leather craft

Lime Plaster Mix Calculator | Estimate Wall Coat Materials

Estimate lime plaster volume and ingredient amounts from wall area, coat thickness, and volumetric mix parts. See rough lime, sand, fiber, and water planning figures for a coat or batch.

Lime Plaster Mix Calculator | Estimate Wall Coat Materials science calculator NHL PPE Total parts

Neighborhood Walkability Score Estimator - Amenities, Sidewalks & Crossings

Estimate a 0-100 neighborhood walkability score from nearby groceries, parks, bus stops, sidewalk coverage, and crosswalk safety.

walkability score calculator neighborhood pedestrian rating bus coverage crosswalk

Rainwater First Flush Diverter Volume Calculator (Roof Runoff Sizing)

Size a rainwater first flush diverter from roof area and diversion depth, with TWDB and ARCSA benchmarks, standpipe length, and metric or US units.

first flush rainwater diverter roof runoff calculator cistern protection 10 gal per 1

Rolling Acceleration on an Incline Calculator with Friction Check

Find the acceleration, travel time, exit speed, spin rate and the static friction a body needs to roll without slipping down an incline.

rolling acceleration calculator incline rolling rolling without slipping moment of inertia ratio required static friction

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.

silage calculator pile volume bunker silo capacity forage inventory dry matter tons

Slope-Intercept and Standard Form Converter

Convert y = mx + b to Ax + By = C and back with exact fractions, see the line graphed, and read the slope, intercepts and both forms together.

slope intercept form standard form linear equation converter Ax + By = C back

Solar Declination Angle Calculator (NOAA/Meeus Algorithm)

Compute the Sun's declination for any date and UTC time with the NOAA/Meeus algorithm, plus equation of time, solar noon elevation and day length.

solar declination angle calculator sun position daylight calculation solar energy + north

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.

sphere volume sphere surface area geometry calculator area assumptions

Standard Hyperbola Properties Calculator: Foci, Vertices & Asymptotes

Calculate a standard hyperbola’s equation, vertices, foci, asymptotes, c, and eccentricity from its center, semi-axes, and orientation.

hyperbola calculator foci asymptotes eccentricity aligned hyperbola from its center

Stream Discharge Calculator (Q = A × V) | River Flow Rate

Estimate stream discharge with the velocity-area method Q = A x V. Rectangular, trapezoidal, or natural cross-sections, float-method velocity, metric or US units.

stream discharge calculator river discharge flow rate calculator hydrology Q=AV

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.

surface of revolution calculator surface area of revolution calculus numeric integration Simpson's rule

Terrarium Misting Frequency and Humidity Calculator

Calculate a terrarium misting interval from enclosure volume, ventilation, room humidity, temperature, mist volume and a water-vapour mass balance.

terrarium misting calculator vivarium humidity vapour pressure deficit air changes per hour absolute humidity

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.

timber cruise tree stand volume board feet calculator timber harvest forestry inventory

Triangle Center Calculator - Four Classical Centers

Enter triangle vertex coordinates to compute the centroid, incenter, circumcenter, and orthocenter, with formulas, a worked example, and a labeled diagram.

triangle centroid incenter circumcenter orthocenter calculator CAD and c at the right-angle vertex for right center

Tubeless Tire Sealant Calculator - Estimate Sealant Volume by Tire Size

Estimate how much tubeless tire sealant to add from tire diameter, width, and fill percentage, with practical notes for setup, upkeep, and common tire sizes.

tubeless tire sealant calculator bike maintenance sealant volume estimator % of tire volume add