Geometry Calculator

The tool computes area and perimeter for the most common 2D shapes used in education, design, and engineering. Supported shapes include circle, rectangle, triangle, regular polygons (n sides with equal length), and irregular polygons defined by vertex coordinates or side lengths. Users provide shape type and required dimensions, and the engine returns area and perimeter in the chosen units. All calculations rely on standard geometric formulas and robust numeric handling to ensure repeatable results across sessions.

For shapes with a coordinate representation, polygon area is computed using the shoelace formula across the ordered vertex list, while perimeter is the sum of edge distances. For regular polygons, area is (n × s^2) / (4 tan(π/n)) and perimeter is n × s. For circles, area is πr^2 and perimeter is 2πr. The tool enforces consistent units and can produce results with configurable precision, defaulting to two decimals.

Target users include students solving homework problems, teachers validating answers, engineers during quick sketch validation, and designers checking layouts. The unique value lies in unifying standard shape formulas with coordinate-based polygon support in a single backend, providing transparent formulas, consistent units, and a straightforward calculation workflow suitable for quick checks or API integration.