# Geometry Calculator

> Fourteen 2D and 3D shapes with perimeter, area, surface area, volume and diagonals - pick a shape, enter dimensions, see every step.

Free geometry calculator for 14 shapes: square, rectangle, triangle, circle, trapezoid, ellipse, cube, cylinder, cone, sphere and more. Area, perimeter, volume, surface area and diagonals with full step-by-step math.

- **Canonical:** https://www.ailovekit.com/calculators/geometry-calculator/
- **Category:** Calculator
- **Processing:** Runs entirely in your browser. Files are never uploaded to AiLoveKit servers.

## How It Calculates

- **Formula:** shape-specific: e.g. Area = π r², Volume = 4/3 π r³

- **Built-in formulas:** 14 (square, rectangle-area, triangle, circle-area, trapezoid, ellipse, parallelogram, pythagoras, cube, rect-volume, cylinder-volume, cone, sphere, hemisphere)

All calculation runs locally in your browser; results update as you type and include the substituted working.

## Every Common Shape, One Place

AiLoveKit's **geometry calculator** covers the shapes you actually meet in school, design and construction - from a simple square to cones, spheres and hemispheres. Each shape returns the quantities that matter (area, perimeter, volume, surface area, diagonals) with the working written out so you can follow it.

## Built for Learning and for Building

- **Step-by-step** - each result shows the substituted values, not just the answer.

- **2D and 3D** - perimeter and area for flat shapes; volume and surface area for solids.

- **Instant** - results update as you type; no submit buttons.

Planning quantities from these areas and volumes? Hand them to the [Concrete Calculator](https://build.ailovekit.com/calculators/concrete-calculator/) or take them into [AiLoveKit Build](https://build.ailovekit.com/).

## Frequently Asked Questions

**Which shapes are supported?**

2D: square, rectangle, triangle, circle, trapezoid, ellipse, parallelogram and the Pythagorean theorem. 3D: cube, rectangular prism, cylinder, cone, sphere and hemisphere.

**What units do I use?**

Enter any consistent unit (meters, feet, inches). Results come back in that same unit squared or cubed, so keep inputs consistent per shape.

**How is the ellipse perimeter computed?**

With Ramanujan’s approximation, accurate to many decimal places for all practical eccentricities.

**Where do the formulas come from?**

Standard Euclidean geometry definitions, evaluated by a safe local expression engine with the substituted math shown at each step.

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Source: https://www.ailovekit.com/calculators/geometry-calculator/
Part of AiLoveKit: https://www.ailovekit.com/
Machine-readable index: https://www.ailovekit.com/llms.txt