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Geometry Calculator

All-in-one geometry solver for 2D polygons, circles, and 3D prisms, cylinders, spheres, and cones.

Geometry & Trigonometry Engine

Geometry, Area & Volume Studio

Solve triangles with Heron's formula and Law of Cosines, calculate circle sector arcs, compute 2D planar areas, 3D volumes, and exact Pythagorean radicals.

Select 2D Planar Shape

Rectangle Area
Area = w × h
Area = 40
Perimeter = 26

What is Geometry?

Geometry is the branch of mathematics studying size, shape, position, angles, and dimensions of objects.

It governs architecture, surveying, manufacturing tolerances, and physics.

Formula & Step-by-Step Calculation

A = l × w, V = l × w × h, C = 2πr

Standard Euclidean geometric formulas for dimensions and space.

Worked Step-by-Step Examples

Example 1

Area of rectangle 5m by 8m

Solution: 40 m²
• 5 × 8 = 40 m²

Common Real-World & Academic Use Cases

  • ✓ Flooring and paint estimation
  • ✓ Structural design
  • ✓ Land surveying

How to Use the Geometry Calculator

1

Choose Shape

Select 2D or 3D geometry.

2

Input Dimensions

Enter side or radius lengths.

3

Inspect Area & Volume

Review calculated dimensions.

Frequently Asked Questions

Q: What is Euclidean geometry?

The study of plane and solid figures based on Euclid’s axioms.

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