Know what you calculate.

Orqivexuna is a free English-language collection of 30 calculators for geometry. No account is required.

Definitions and scope

All tools use ordinary flat Euclidean geometry. Enter all lengths in the same unit; the site does not automatically convert them. Length, area and volume outputs therefore use units, square units and cubic units. Dimensions must be positive except where a zero inner radius or signed coordinate is explicitly allowed. Triangle side inequalities are checked. Regular polygons assume equal sides and angles. Cone, cylinder and pyramid surface formulas use the stated right-solid assumptions. Hemisphere total surface includes the base; curved surface excludes it. Ellipse perimeter is an explicitly labelled Ramanujan approximation. Results do not address curved-space geometry, geodetic coordinates, tolerances or material properties.

Input and precision limits

Each input has a supported range. Inputs are checked by the calculation engine as well as browser controls. General numeric computations use JavaScript floating-point arithmetic, typically displayed to 12 significant digits. Very large, nonfinite and invalid-domain results are rejected. Display rounding is not a claim of measurement accuracy. The interface identifies undefined results or non-unique solutions instead of inventing a finite answer.

Formulas and examples

Choose any calculator to see its formula, assumptions and an example. Numeric lists accept comma, semicolon or space separation, up to 2,000 entries; additional tool-specific bounds can apply. Use a period as the decimal separator, without thousands separators.

Open source and validation

The implementation and automated checks are included in the source package. Created for this project with AI assistance. No external calculation service, executable expression parser or third-party numeric library is bundled. See the source guide and MIT License.

Appropriate use

These are educational and general-purpose tools. Independently verify any result needed for a safety-critical, regulatory, contractual or scientific measurement decision. The tools do not model uncertainty, propagate measurement error or certify calculations.